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Finding the Third Proportional to 24,269,072 and 51,897,376

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Solution

The third proportional to 24,269,072 and 51,897,376 is: 110,978,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269,072 : 51,897,376 = 51,897,376 : x
  2. Step 2: Convert to fraction form
    24,269,072/51,897,376 = 51,897,376/x
  3. Step 3: Cross multiply
    24,269,072x = 51,897,376 × 51,897,376
  4. Step 4: Simplify right side
    24,269,072x = 2,693,337,635,685,376
  5. Step 5: Solve for x
    x = 2,693,337,635,685,376/24,269,072
  6. Step 6: Final answer
    x = 110,978,188.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.