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Finding the Third Proportional to 2,898,802,595,028.20 and 6,306,548,402,032.20

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Solution

The third proportional to 2,898,802,595,028.20 and 6,306,548,402,032.20 is: 13,720,338,465,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898,802,595,028.20 : 6,306,548,402,032.20 = 6,306,548,402,032.20 : x
  2. Step 2: Convert to fraction form
    2,898,802,595,028.20/6,306,548,402,032.20 = 6,306,548,402,032.20/x
  3. Step 3: Cross multiply
    2,898,802,595,028.20x = 6,306,548,402,032.20 × 6,306,548,402,032.20
  4. Step 4: Simplify right side
    2,898,802,595,028.20x = 39,772,552,747,174,896,968,138,752
  5. Step 5: Solve for x
    x = 39,772,552,747,174,896,968,138,752/2,898,802,595,028.20
  6. Step 6: Final answer
    x = 13,720,338,465,057.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.