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Finding the Third Proportional to 2,981,414,790 and 6,459,702,939

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Solution

The third proportional to 2,981,414,790 and 6,459,702,939 is: 13,995,959,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,414,790 : 6,459,702,939 = 6,459,702,939 : x
  2. Step 2: Convert to fraction form
    2,981,414,790/6,459,702,939 = 6,459,702,939/x
  3. Step 3: Cross multiply
    2,981,414,790x = 6,459,702,939 × 6,459,702,939
  4. Step 4: Simplify right side
    2,981,414,790x = 41,727,762,060,125,241,344
  5. Step 5: Solve for x
    x = 41,727,762,060,125,241,344/2,981,414,790
  6. Step 6: Final answer
    x = 13,995,959,971.78

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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.