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Finding the Third Proportional to 324,788,552 and 766,442,828

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Solution

The third proportional to 324,788,552 and 766,442,828 is: 1,808,667,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,788,552 : 766,442,828 = 766,442,828 : x
  2. Step 2: Convert to fraction form
    324,788,552/766,442,828 = 766,442,828/x
  3. Step 3: Cross multiply
    324,788,552x = 766,442,828 × 766,442,828
  4. Step 4: Simplify right side
    324,788,552x = 587,434,608,592,637,568
  5. Step 5: Solve for x
    x = 587,434,608,592,637,568/324,788,552
  6. Step 6: Final answer
    x = 1,808,667,839.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.