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Finding the Third Proportional to 18,641,457,891.70 and 40,891,998,033.14

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Solution

The third proportional to 18,641,457,891.70 and 40,891,998,033.14 is: 89,700,897,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641,457,891.70 : 40,891,998,033.14 = 40,891,998,033.14 : x
  2. Step 2: Convert to fraction form
    18,641,457,891.70/40,891,998,033.14 = 40,891,998,033.14/x
  3. Step 3: Cross multiply
    18,641,457,891.70x = 40,891,998,033.14 × 40,891,998,033.14
  4. Step 4: Simplify right side
    18,641,457,891.70x = 1,672,155,503,142,243,926,016
  5. Step 5: Solve for x
    x = 1,672,155,503,142,243,926,016/18,641,457,891.70
  6. Step 6: Final answer
    x = 89,700,897,475.75

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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.