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Finding the Third Proportional to 2,898,802,595,000.50 and 6,306,548,401,979.50

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Solution

The third proportional to 2,898,802,595,000.50 and 6,306,548,401,979.50 is: 13,720,338,464,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898,802,595,000.50 : 6,306,548,401,979.50 = 6,306,548,401,979.50 : x
  2. Step 2: Convert to fraction form
    2,898,802,595,000.50/6,306,548,401,979.50 = 6,306,548,401,979.50/x
  3. Step 3: Cross multiply
    2,898,802,595,000.50x = 6,306,548,401,979.50 × 6,306,548,401,979.50
  4. Step 4: Simplify right side
    2,898,802,595,000.50x = 39,772,552,746,510,182,059,606,016
  5. Step 5: Solve for x
    x = 39,772,552,746,510,182,059,606,016/2,898,802,595,000.50
  6. Step 6: Final answer
    x = 13,720,338,464,959.64

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