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Finding the Third Proportional to 23,827,464 and 52,024,554

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Solution

The third proportional to 23,827,464 and 52,024,554 is: 113,589,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827,464 : 52,024,554 = 52,024,554 : x
  2. Step 2: Convert to fraction form
    23,827,464/52,024,554 = 52,024,554/x
  3. Step 3: Cross multiply
    23,827,464x = 52,024,554 × 52,024,554
  4. Step 4: Simplify right side
    23,827,464x = 2,706,554,218,898,916
  5. Step 5: Solve for x
    x = 2,706,554,218,898,916/23,827,464
  6. Step 6: Final answer
    x = 113,589,688.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.