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Finding the Third Proportional to 283,488,048 and 444,127,680

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Solution

The third proportional to 283,488,048 and 444,127,680 is: 695,794,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,488,048 : 444,127,680 = 444,127,680 : x
  2. Step 2: Convert to fraction form
    283,488,048/444,127,680 = 444,127,680/x
  3. Step 3: Cross multiply
    283,488,048x = 444,127,680 × 444,127,680
  4. Step 4: Simplify right side
    283,488,048x = 197,249,396,142,182,400
  5. Step 5: Solve for x
    x = 197,249,396,142,182,400/283,488,048
  6. Step 6: Final answer
    x = 695,794,399.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.