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Finding the Third Proportional to 18,641,457,872 and 40,891,998,001

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Solution

The third proportional to 18,641,457,872 and 40,891,998,001 is: 89,700,897,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641,457,872 : 40,891,998,001 = 40,891,998,001 : x
  2. Step 2: Convert to fraction form
    18,641,457,872/40,891,998,001 = 40,891,998,001/x
  3. Step 3: Cross multiply
    18,641,457,872x = 40,891,998,001 × 40,891,998,001
  4. Step 4: Simplify right side
    18,641,457,872x = 1,672,155,500,513,787,904,000
  5. Step 5: Solve for x
    x = 1,672,155,500,513,787,904,000/18,641,457,872
  6. Step 6: Final answer
    x = 89,700,897,429.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.