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Finding the Third Proportional to 37,976,376 and 81,614,896

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Solution

The third proportional to 37,976,376 and 81,614,896 is: 175,398,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,976,376 : 81,614,896 = 81,614,896 : x
  2. Step 2: Convert to fraction form
    37,976,376/81,614,896 = 81,614,896/x
  3. Step 3: Cross multiply
    37,976,376x = 81,614,896 × 81,614,896
  4. Step 4: Simplify right side
    37,976,376x = 6,660,991,249,090,816
  5. Step 5: Solve for x
    x = 6,660,991,249,090,816/37,976,376
  6. Step 6: Final answer
    x = 175,398,285.74

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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.