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Finding the Third Proportional to 31,296,663.75 and 67,221,016.13

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Solution

The third proportional to 31,296,663.75 and 67,221,016.13 is: 144,381,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296,663.75 : 67,221,016.13 = 67,221,016.13 : x
  2. Step 2: Convert to fraction form
    31,296,663.75/67,221,016.13 = 67,221,016.13/x
  3. Step 3: Cross multiply
    31,296,663.75x = 67,221,016.13 × 67,221,016.13
  4. Step 4: Simplify right side
    31,296,663.75x = 4,518,665,008,877,510
  5. Step 5: Solve for x
    x = 4,518,665,008,877,510/31,296,663.75
  6. Step 6: Final answer
    x = 144,381,683.78

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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.