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Finding the Third Proportional to 11,471,706 and 24,966,468

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Solution

The third proportional to 11,471,706 and 24,966,468 is: 54,335,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471,706 : 24,966,468 = 24,966,468 : x
  2. Step 2: Convert to fraction form
    11,471,706/24,966,468 = 24,966,468/x
  3. Step 3: Cross multiply
    11,471,706x = 24,966,468 × 24,966,468
  4. Step 4: Simplify right side
    11,471,706x = 623,324,524,395,024
  5. Step 5: Solve for x
    x = 623,324,524,395,024/11,471,706
  6. Step 6: Final answer
    x = 54,335,817.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.