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Finding the Third Proportional to 12,427,782 and 27,006,762

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Solution

The third proportional to 12,427,782 and 27,006,762 is: 58,688,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427,782 : 27,006,762 = 27,006,762 : x
  2. Step 2: Convert to fraction form
    12,427,782/27,006,762 = 27,006,762/x
  3. Step 3: Cross multiply
    12,427,782x = 27,006,762 × 27,006,762
  4. Step 4: Simplify right side
    12,427,782x = 729,365,193,724,644
  5. Step 5: Solve for x
    x = 729,365,193,724,644/12,427,782
  6. Step 6: Final answer
    x = 58,688,283.53

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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.