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Finding the Third Proportional to 24,134,893,524 and 51,958,350,072

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Solution

The third proportional to 24,134,893,524 and 51,958,350,072 is: 111,857,553,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,134,893,524 : 51,958,350,072 = 51,958,350,072 : x
  2. Step 2: Convert to fraction form
    24,134,893,524/51,958,350,072 = 51,958,350,072/x
  3. Step 3: Cross multiply
    24,134,893,524x = 51,958,350,072 × 51,958,350,072
  4. Step 4: Simplify right side
    24,134,893,524x = 2,699,670,142,204,502,343,680
  5. Step 5: Solve for x
    x = 2,699,670,142,204,502,343,680/24,134,893,524
  6. Step 6: Final answer
    x = 111,857,553,443.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.