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Finding the Third Proportional to 73,182,676 and 107,746,566

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Solution

The third proportional to 73,182,676 and 107,746,566 is: 158,634,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,182,676 : 107,746,566 = 107,746,566 : x
  2. Step 2: Convert to fraction form
    73,182,676/107,746,566 = 107,746,566/x
  3. Step 3: Cross multiply
    73,182,676x = 107,746,566 × 107,746,566
  4. Step 4: Simplify right side
    73,182,676x = 11,609,322,484,792,356
  5. Step 5: Solve for x
    x = 11,609,322,484,792,356/73,182,676
  6. Step 6: Final answer
    x = 158,634,845.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.