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Finding the Third Proportional to 6,046,393,375 and 9,069,591,010

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Solution

The third proportional to 6,046,393,375 and 9,069,591,010 is: 13,604,387,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046,393,375 : 9,069,591,010 = 9,069,591,010 : x
  2. Step 2: Convert to fraction form
    6,046,393,375/9,069,591,010 = 9,069,591,010/x
  3. Step 3: Cross multiply
    6,046,393,375x = 9,069,591,010 × 9,069,591,010
  4. Step 4: Simplify right side
    6,046,393,375x = 82,257,481,088,672,825,344
  5. Step 5: Solve for x
    x = 82,257,481,088,672,825,344/6,046,393,375
  6. Step 6: Final answer
    x = 13,604,387,936.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.