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Finding the Third Proportional to 747,292,648.50 and 1,605,485,539.13

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Solution

The third proportional to 747,292,648.50 and 1,605,485,539.13 is: 3,449,229,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,292,648.50 : 1,605,485,539.13 = 1,605,485,539.13 : x
  2. Step 2: Convert to fraction form
    747,292,648.50/1,605,485,539.13 = 1,605,485,539.13/x
  3. Step 3: Cross multiply
    747,292,648.50x = 1,605,485,539.13 × 1,605,485,539.13
  4. Step 4: Simplify right side
    747,292,648.50x = 2,577,583,816,339,491,840
  5. Step 5: Solve for x
    x = 2,577,583,816,339,491,840/747,292,648.50
  6. Step 6: Final answer
    x = 3,449,229,457.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.