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Finding the Third Proportional to 18,641,457,928 and 40,891,998,106

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Solution

The third proportional to 18,641,457,928 and 40,891,998,106 is: 89,700,897,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641,457,928 : 40,891,998,106 = 40,891,998,106 : x
  2. Step 2: Convert to fraction form
    18,641,457,928/40,891,998,106 = 40,891,998,106/x
  3. Step 3: Cross multiply
    18,641,457,928x = 40,891,998,106 × 40,891,998,106
  4. Step 4: Simplify right side
    18,641,457,928x = 1,672,155,509,101,107,609,600
  5. Step 5: Solve for x
    x = 1,672,155,509,101,107,609,600/18,641,457,928
  6. Step 6: Final answer
    x = 89,700,897,620.75

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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.