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Finding the Third Proportional to 6,201,883,128 and 9,532,722,132

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Solution

The third proportional to 6,201,883,128 and 9,532,722,132 is: 14,652,451,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201,883,128 : 9,532,722,132 = 9,532,722,132 : x
  2. Step 2: Convert to fraction form
    6,201,883,128/9,532,722,132 = 9,532,722,132/x
  3. Step 3: Cross multiply
    6,201,883,128x = 9,532,722,132 × 9,532,722,132
  4. Step 4: Simplify right side
    6,201,883,128x = 90,872,791,245,922,631,680
  5. Step 5: Solve for x
    x = 90,872,791,245,922,631,680/6,201,883,128
  6. Step 6: Final answer
    x = 14,652,451,420.06

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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.