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Finding the Third Proportional to 422,087,864 and 916,368,110

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Solution

The third proportional to 422,087,864 and 916,368,110 is: 1,989,468,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,087,864 : 916,368,110 = 916,368,110 : x
  2. Step 2: Convert to fraction form
    422,087,864/916,368,110 = 916,368,110/x
  3. Step 3: Cross multiply
    422,087,864x = 916,368,110 × 916,368,110
  4. Step 4: Simplify right side
    422,087,864x = 839,730,513,024,972,160
  5. Step 5: Solve for x
    x = 839,730,513,024,972,160/422,087,864
  6. Step 6: Final answer
    x = 1,989,468,507.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.