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Finding the Third Proportional to 1,648,744,976 and 3,555,762,972

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Solution

The third proportional to 1,648,744,976 and 3,555,762,972 is: 7,668,530,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,744,976 : 3,555,762,972 = 3,555,762,972 : x
  2. Step 2: Convert to fraction form
    1,648,744,976/3,555,762,972 = 3,555,762,972/x
  3. Step 3: Cross multiply
    1,648,744,976x = 3,555,762,972 × 3,555,762,972
  4. Step 4: Simplify right side
    1,648,744,976x = 12,643,450,313,046,272,000
  5. Step 5: Solve for x
    x = 12,643,450,313,046,272,000/1,648,744,976
  6. Step 6: Final answer
    x = 7,668,530,001.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.