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Finding the Third Proportional to 24,537,400 and 51,613,165

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Solution

The third proportional to 24,537,400 and 51,613,165 is: 108,565,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537,400 : 51,613,165 = 51,613,165 : x
  2. Step 2: Convert to fraction form
    24,537,400/51,613,165 = 51,613,165/x
  3. Step 3: Cross multiply
    24,537,400x = 51,613,165 × 51,613,165
  4. Step 4: Simplify right side
    24,537,400x = 2,663,918,801,317,225
  5. Step 5: Solve for x
    x = 2,663,918,801,317,225/24,537,400
  6. Step 6: Final answer
    x = 108,565,650.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.