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Finding the Third Proportional to 391,061,618 and 849,383,748

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Solution

The third proportional to 391,061,618 and 849,383,748 is: 1,844,856,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,061,618 : 849,383,748 = 849,383,748 : x
  2. Step 2: Convert to fraction form
    391,061,618/849,383,748 = 849,383,748/x
  3. Step 3: Cross multiply
    391,061,618x = 849,383,748 × 849,383,748
  4. Step 4: Simplify right side
    391,061,618x = 721,452,751,366,527,488
  5. Step 5: Solve for x
    x = 721,452,751,366,527,488/391,061,618
  6. Step 6: Final answer
    x = 1,844,856,969.23

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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.