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Finding the Third Proportional to 12,567,760.50 and 27,119,472

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Solution

The third proportional to 12,567,760.50 and 27,119,472 is: 58,520,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567,760.50 : 27,119,472 = 27,119,472 : x
  2. Step 2: Convert to fraction form
    12,567,760.50/27,119,472 = 27,119,472/x
  3. Step 3: Cross multiply
    12,567,760.50x = 27,119,472 × 27,119,472
  4. Step 4: Simplify right side
    12,567,760.50x = 735,465,761,558,784
  5. Step 5: Solve for x
    x = 735,465,761,558,784/12,567,760.50
  6. Step 6: Final answer
    x = 58,520,033.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.