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Finding the Third Proportional to 1,920,181,920 and 4,189,252,976

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Solution

The third proportional to 1,920,181,920 and 4,189,252,976 is: 9,139,675,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920,181,920 : 4,189,252,976 = 4,189,252,976 : x
  2. Step 2: Convert to fraction form
    1,920,181,920/4,189,252,976 = 4,189,252,976/x
  3. Step 3: Cross multiply
    1,920,181,920x = 4,189,252,976 × 4,189,252,976
  4. Step 4: Simplify right side
    1,920,181,920x = 17,549,840,496,924,856,320
  5. Step 5: Solve for x
    x = 17,549,840,496,924,856,320/1,920,181,920
  6. Step 6: Final answer
    x = 9,139,675,941.19

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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.