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Finding the Third Proportional to 11,411,541,952 and 24,848,969,832

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Solution

The third proportional to 11,411,541,952 and 24,848,969,832 is: 54,109,366,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411,541,952 : 24,848,969,832 = 24,848,969,832 : x
  2. Step 2: Convert to fraction form
    11,411,541,952/24,848,969,832 = 24,848,969,832/x
  3. Step 3: Cross multiply
    11,411,541,952x = 24,848,969,832 × 24,848,969,832
  4. Step 4: Simplify right side
    11,411,541,952x = 617,471,301,711,646,162,944
  5. Step 5: Solve for x
    x = 617,471,301,711,646,162,944/11,411,541,952
  6. Step 6: Final answer
    x = 54,109,366,140.78

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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.