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Finding the Third Proportional to 42,986,397 and 90,824,694

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Solution

The third proportional to 42,986,397 and 90,824,694 is: 191,900,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,986,397 : 90,824,694 = 90,824,694 : x
  2. Step 2: Convert to fraction form
    42,986,397/90,824,694 = 90,824,694/x
  3. Step 3: Cross multiply
    42,986,397x = 90,824,694 × 90,824,694
  4. Step 4: Simplify right side
    42,986,397x = 8,249,125,040,193,636
  5. Step 5: Solve for x
    x = 8,249,125,040,193,636/42,986,397
  6. Step 6: Final answer
    x = 191,900,824.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.