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Finding the Third Proportional to 31,049,001.56 and 67,737,641.06

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Solution

The third proportional to 31,049,001.56 and 67,737,641.06 is: 147,778,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049,001.56 : 67,737,641.06 = 67,737,641.06 : x
  2. Step 2: Convert to fraction form
    31,049,001.56/67,737,641.06 = 67,737,641.06/x
  3. Step 3: Cross multiply
    31,049,001.56x = 67,737,641.06 × 67,737,641.06
  4. Step 4: Simplify right side
    31,049,001.56x = 4,588,388,016,712,086
  5. Step 5: Solve for x
    x = 4,588,388,016,712,086/31,049,001.56
  6. Step 6: Final answer
    x = 147,778,923.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.