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Finding the Third Proportional to 12,427,757.50 and 27,006,710

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Solution

The third proportional to 12,427,757.50 and 27,006,710 is: 58,688,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427,757.50 : 27,006,710 = 27,006,710 : x
  2. Step 2: Convert to fraction form
    12,427,757.50/27,006,710 = 27,006,710/x
  3. Step 3: Cross multiply
    12,427,757.50x = 27,006,710 × 27,006,710
  4. Step 4: Simplify right side
    12,427,757.50x = 729,362,385,024,100
  5. Step 5: Solve for x
    x = 729,362,385,024,100/12,427,757.50
  6. Step 6: Final answer
    x = 58,688,173.23

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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.