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Finding the Third Proportional to 24,257,184 and 36,638,421

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Solution

The third proportional to 24,257,184 and 36,638,421 is: 55,339,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257,184 : 36,638,421 = 36,638,421 : x
  2. Step 2: Convert to fraction form
    24,257,184/36,638,421 = 36,638,421/x
  3. Step 3: Cross multiply
    24,257,184x = 36,638,421 × 36,638,421
  4. Step 4: Simplify right side
    24,257,184x = 1,342,373,893,373,241
  5. Step 5: Solve for x
    x = 1,342,373,893,373,241/24,257,184
  6. Step 6: Final answer
    x = 55,339,230.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.