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Finding the Third Proportional to 18,641,457,919 and 40,891,998,088

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Solution

The third proportional to 18,641,457,919 and 40,891,998,088 is: 89,700,897,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641,457,919 : 40,891,998,088 = 40,891,998,088 : x
  2. Step 2: Convert to fraction form
    18,641,457,919/40,891,998,088 = 40,891,998,088/x
  3. Step 3: Cross multiply
    18,641,457,919x = 40,891,998,088 × 40,891,998,088
  4. Step 4: Simplify right side
    18,641,457,919x = 1,672,155,507,628,995,772,416
  5. Step 5: Solve for x
    x = 1,672,155,507,628,995,772,416/18,641,457,919
  6. Step 6: Final answer
    x = 89,700,897,585.09

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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.