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Finding the Third Proportional to 34,947,169.88 and 54,702,342.56

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Solution

The third proportional to 34,947,169.88 and 54,702,342.56 is: 85,624,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947,169.88 : 54,702,342.56 = 54,702,342.56 : x
  2. Step 2: Convert to fraction form
    34,947,169.88/54,702,342.56 = 54,702,342.56/x
  3. Step 3: Cross multiply
    34,947,169.88x = 54,702,342.56 × 54,702,342.56
  4. Step 4: Simplify right side
    34,947,169.88x = 2,992,346,281,825,099
  5. Step 5: Solve for x
    x = 2,992,346,281,825,099/34,947,169.88
  6. Step 6: Final answer
    x = 85,624,852.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.