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Finding the Third Proportional to 7,353,592,029 and 15,729,543,612

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Solution

The third proportional to 7,353,592,029 and 15,729,543,612 is: 33,645,943,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353,592,029 : 15,729,543,612 = 15,729,543,612 : x
  2. Step 2: Convert to fraction form
    7,353,592,029/15,729,543,612 = 15,729,543,612/x
  3. Step 3: Cross multiply
    7,353,592,029x = 15,729,543,612 × 15,729,543,612
  4. Step 4: Simplify right side
    7,353,592,029x = 247,418,542,241,810,022,400
  5. Step 5: Solve for x
    x = 247,418,542,241,810,022,400/7,353,592,029
  6. Step 6: Final answer
    x = 33,645,943,542.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.