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Finding the Third Proportional to 24,006,114 and 52,565,724

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Solution

The third proportional to 24,006,114 and 52,565,724 is: 115,102,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006,114 : 52,565,724 = 52,565,724 : x
  2. Step 2: Convert to fraction form
    24,006,114/52,565,724 = 52,565,724/x
  3. Step 3: Cross multiply
    24,006,114x = 52,565,724 × 52,565,724
  4. Step 4: Simplify right side
    24,006,114x = 2,763,155,339,644,176
  5. Step 5: Solve for x
    x = 2,763,155,339,644,176/24,006,114
  6. Step 6: Final answer
    x = 115,102,150.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.