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Finding the Third Proportional to 24,367,024 and 54,180,672

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Solution

The third proportional to 24,367,024 and 54,180,672 is: 120,472,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,367,024 : 54,180,672 = 54,180,672 : x
  2. Step 2: Convert to fraction form
    24,367,024/54,180,672 = 54,180,672/x
  3. Step 3: Cross multiply
    24,367,024x = 54,180,672 × 54,180,672
  4. Step 4: Simplify right side
    24,367,024x = 2,935,545,218,371,584
  5. Step 5: Solve for x
    x = 2,935,545,218,371,584/24,367,024
  6. Step 6: Final answer
    x = 120,472,045.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.