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Finding the Third Proportional to 3,120,572,509 and 4,279,063,122

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Solution

The third proportional to 3,120,572,509 and 4,279,063,122 is: 5,867,635,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120,572,509 : 4,279,063,122 = 4,279,063,122 : x
  2. Step 2: Convert to fraction form
    3,120,572,509/4,279,063,122 = 4,279,063,122/x
  3. Step 3: Cross multiply
    3,120,572,509x = 4,279,063,122 × 4,279,063,122
  4. Step 4: Simplify right side
    3,120,572,509x = 18,310,381,202,060,386,304
  5. Step 5: Solve for x
    x = 18,310,381,202,060,386,304/3,120,572,509
  6. Step 6: Final answer
    x = 5,867,635,233.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.