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Finding the Third Proportional to 72,678,366 and 111,711,654

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Solution

The third proportional to 72,678,366 and 111,711,654 is: 171,708,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,678,366 : 111,711,654 = 111,711,654 : x
  2. Step 2: Convert to fraction form
    72,678,366/111,711,654 = 111,711,654/x
  3. Step 3: Cross multiply
    72,678,366x = 111,711,654 × 111,711,654
  4. Step 4: Simplify right side
    72,678,366x = 12,479,493,639,415,716
  5. Step 5: Solve for x
    x = 12,479,493,639,415,716/72,678,366
  6. Step 6: Final answer
    x = 171,708,505.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.