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Finding the Third Proportional to 2,898,802,595,025 and 6,306,548,402,034

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Solution

The third proportional to 2,898,802,595,025 and 6,306,548,402,034 is: 13,720,338,465,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898,802,595,025 : 6,306,548,402,034 = 6,306,548,402,034 : x
  2. Step 2: Convert to fraction form
    2,898,802,595,025/6,306,548,402,034 = 6,306,548,402,034/x
  3. Step 3: Cross multiply
    2,898,802,595,025x = 6,306,548,402,034 × 6,306,548,402,034
  4. Step 4: Simplify right side
    2,898,802,595,025x = 39,772,552,747,197,600,165,265,408
  5. Step 5: Solve for x
    x = 39,772,552,747,197,600,165,265,408/2,898,802,595,025
  6. Step 6: Final answer
    x = 13,720,338,465,080.82

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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.