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Finding the Third Proportional to 287,491,150.97 and 625,353,726.38

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Solution

The third proportional to 287,491,150.97 and 625,353,726.38 is: 1,360,275,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,491,150.97 : 625,353,726.38 = 625,353,726.38 : x
  2. Step 2: Convert to fraction form
    287,491,150.97/625,353,726.38 = 625,353,726.38/x
  3. Step 3: Cross multiply
    287,491,150.97x = 625,353,726.38 × 625,353,726.38
  4. Step 4: Simplify right side
    287,491,150.97x = 391,067,283,091,098,368
  5. Step 5: Solve for x
    x = 391,067,283,091,098,368/287,491,150.97
  6. Step 6: Final answer
    x = 1,360,275,896.40

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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.