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Finding the Third Proportional to 1,791,456,736,698 and 3,948,069,418,854

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Solution

The third proportional to 1,791,456,736,698 and 3,948,069,418,854 is: 8,700,881,141,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791,456,736,698 : 3,948,069,418,854 = 3,948,069,418,854 : x
  2. Step 2: Convert to fraction form
    1,791,456,736,698/3,948,069,418,854 = 3,948,069,418,854/x
  3. Step 3: Cross multiply
    1,791,456,736,698x = 3,948,069,418,854 × 3,948,069,418,854
  4. Step 4: Simplify right side
    1,791,456,736,698x = 15,587,252,136,090,161,165,369,344
  5. Step 5: Solve for x
    x = 15,587,252,136,090,161,165,369,344/1,791,456,736,698
  6. Step 6: Final answer
    x = 8,700,881,141,467.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.