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Finding the Third Proportional to 12,380,062.78 and 29,129,765.48

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Solution

The third proportional to 12,380,062.78 and 29,129,765.48 is: 68,541,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380,062.78 : 29,129,765.48 = 29,129,765.48 : x
  2. Step 2: Convert to fraction form
    12,380,062.78/29,129,765.48 = 29,129,765.48/x
  3. Step 3: Cross multiply
    12,380,062.78x = 29,129,765.48 × 29,129,765.48
  4. Step 4: Simplify right side
    12,380,062.78x = 848,543,237,174,685.12
  5. Step 5: Solve for x
    x = 848,543,237,174,685.12/12,380,062.78
  6. Step 6: Final answer
    x = 68,541,109.38

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.