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Finding the Third Proportional to 6,201,883,126 and 9,532,722,129

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Solution

The third proportional to 6,201,883,126 and 9,532,722,129 is: 14,652,451,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201,883,126 : 9,532,722,129 = 9,532,722,129 : x
  2. Step 2: Convert to fraction form
    6,201,883,126/9,532,722,129 = 9,532,722,129/x
  3. Step 3: Cross multiply
    6,201,883,126x = 9,532,722,129 × 9,532,722,129
  4. Step 4: Simplify right side
    6,201,883,126x = 90,872,791,188,726,300,672
  5. Step 5: Solve for x
    x = 90,872,791,188,726,300,672/6,201,883,126
  6. Step 6: Final answer
    x = 14,652,451,415.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.