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Finding the Third Proportional to 73,815,016 and 172,465,192

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Solution

The third proportional to 73,815,016 and 172,465,192 is: 402,956,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,815,016 : 172,465,192 = 172,465,192 : x
  2. Step 2: Convert to fraction form
    73,815,016/172,465,192 = 172,465,192/x
  3. Step 3: Cross multiply
    73,815,016x = 172,465,192 × 172,465,192
  4. Step 4: Simplify right side
    73,815,016x = 29,744,242,451,596,864
  5. Step 5: Solve for x
    x = 29,744,242,451,596,864/73,815,016
  6. Step 6: Final answer
    x = 402,956,526.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.