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Finding the Third Proportional to 3,120,572,510 and 4,279,063,126

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Solution

The third proportional to 3,120,572,510 and 4,279,063,126 is: 5,867,635,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120,572,510 : 4,279,063,126 = 4,279,063,126 : x
  2. Step 2: Convert to fraction form
    3,120,572,510/4,279,063,126 = 4,279,063,126/x
  3. Step 3: Cross multiply
    3,120,572,510x = 4,279,063,126 × 4,279,063,126
  4. Step 4: Simplify right side
    3,120,572,510x = 18,310,381,236,292,892,672
  5. Step 5: Solve for x
    x = 18,310,381,236,292,892,672/3,120,572,510
  6. Step 6: Final answer
    x = 5,867,635,242.45

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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.