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Finding the Third Proportional to 353,007,687 and 769,576,618

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Solution

The third proportional to 353,007,687 and 769,576,618 is: 1,677,720,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,007,687 : 769,576,618 = 769,576,618 : x
  2. Step 2: Convert to fraction form
    353,007,687/769,576,618 = 769,576,618/x
  3. Step 3: Cross multiply
    353,007,687x = 769,576,618 × 769,576,618
  4. Step 4: Simplify right side
    353,007,687x = 592,248,170,972,317,952
  5. Step 5: Solve for x
    x = 592,248,170,972,317,952/353,007,687
  6. Step 6: Final answer
    x = 1,677,720,323.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.