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Finding the Third Proportional to 12,427,767 and 27,006,729.75

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Solution

The third proportional to 12,427,767 and 27,006,729.75 is: 58,688,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427,767 : 27,006,729.75 = 27,006,729.75 : x
  2. Step 2: Convert to fraction form
    12,427,767/27,006,729.75 = 27,006,729.75/x
  3. Step 3: Cross multiply
    12,427,767x = 27,006,729.75 × 27,006,729.75
  4. Step 4: Simplify right side
    12,427,767x = 729,363,451,789,535
  5. Step 5: Solve for x
    x = 729,363,451,789,535/12,427,767
  6. Step 6: Final answer
    x = 58,688,214.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.