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Finding the Third Proportional to 713,448,465 and 1,567,197,327

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Solution

The third proportional to 713,448,465 and 1,567,197,327 is: 3,442,585,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,448,465 : 1,567,197,327 = 1,567,197,327 : x
  2. Step 2: Convert to fraction form
    713,448,465/1,567,197,327 = 1,567,197,327/x
  3. Step 3: Cross multiply
    713,448,465x = 1,567,197,327 × 1,567,197,327
  4. Step 4: Simplify right side
    713,448,465x = 2,456,107,461,755,944,960
  5. Step 5: Solve for x
    x = 2,456,107,461,755,944,960/713,448,465
  6. Step 6: Final answer
    x = 3,442,585,669.81

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