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Finding the Third Proportional to 2,981,409,523 and 6,459,693,690

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Solution

The third proportional to 2,981,409,523 and 6,459,693,690 is: 13,995,944,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,409,523 : 6,459,693,690 = 6,459,693,690 : x
  2. Step 2: Convert to fraction form
    2,981,409,523/6,459,693,690 = 6,459,693,690/x
  3. Step 3: Cross multiply
    2,981,409,523x = 6,459,693,690 × 6,459,693,690
  4. Step 4: Simplify right side
    2,981,409,523x = 41,727,642,568,625,815,552
  5. Step 5: Solve for x
    x = 41,727,642,568,625,815,552/2,981,409,523
  6. Step 6: Final answer
    x = 13,995,944,618.38

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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.