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Finding the Third Proportional to 24,537,408 and 51,613,184

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Solution

The third proportional to 24,537,408 and 51,613,184 is: 108,565,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537,408 : 51,613,184 = 51,613,184 : x
  2. Step 2: Convert to fraction form
    24,537,408/51,613,184 = 51,613,184/x
  3. Step 3: Cross multiply
    24,537,408x = 51,613,184 × 51,613,184
  4. Step 4: Simplify right side
    24,537,408x = 2,663,920,762,617,856
  5. Step 5: Solve for x
    x = 2,663,920,762,617,856/24,537,408
  6. Step 6: Final answer
    x = 108,565,695.39

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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.