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Finding the Third Proportional to 18,641,457,916 and 40,891,998,082

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Solution

The third proportional to 18,641,457,916 and 40,891,998,082 is: 89,700,897,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641,457,916 : 40,891,998,082 = 40,891,998,082 : x
  2. Step 2: Convert to fraction form
    18,641,457,916/40,891,998,082 = 40,891,998,082/x
  3. Step 3: Cross multiply
    18,641,457,916x = 40,891,998,082 × 40,891,998,082
  4. Step 4: Simplify right side
    18,641,457,916x = 1,672,155,507,138,291,564,544
  5. Step 5: Solve for x
    x = 1,672,155,507,138,291,564,544/18,641,457,916
  6. Step 6: Final answer
    x = 89,700,897,573.20

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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.