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Finding the Third Proportional to 3,660,488,847 and 5,154,774,909.75

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Solution

The third proportional to 3,660,488,847 and 5,154,774,909.75 is: 7,259,058,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660,488,847 : 5,154,774,909.75 = 5,154,774,909.75 : x
  2. Step 2: Convert to fraction form
    3,660,488,847/5,154,774,909.75 = 5,154,774,909.75/x
  3. Step 3: Cross multiply
    3,660,488,847x = 5,154,774,909.75 × 5,154,774,909.75
  4. Step 4: Simplify right side
    3,660,488,847x = 26,571,704,370,188,120,064
  5. Step 5: Solve for x
    x = 26,571,704,370,188,120,064/3,660,488,847
  6. Step 6: Final answer
    x = 7,259,058,962.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.