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Finding the Third Proportional to 11,472,170,452 and 24,687,732,864

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Solution

The third proportional to 11,472,170,452 and 24,687,732,864 is: 53,127,187,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472,170,452 : 24,687,732,864 = 24,687,732,864 : x
  2. Step 2: Convert to fraction form
    11,472,170,452/24,687,732,864 = 24,687,732,864/x
  3. Step 3: Cross multiply
    11,472,170,452x = 24,687,732,864 × 24,687,732,864
  4. Step 4: Simplify right side
    11,472,170,452x = 609,484,153,964,225,626,112
  5. Step 5: Solve for x
    x = 609,484,153,964,225,626,112/11,472,170,452
  6. Step 6: Final answer
    x = 53,127,187,790.17

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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.