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Finding the Third Proportional to 61,074,546.75 and 126,400,621.50

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Solution

The third proportional to 61,074,546.75 and 126,400,621.50 is: 261,600,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,074,546.75 : 126,400,621.50 = 126,400,621.50 : x
  2. Step 2: Convert to fraction form
    61,074,546.75/126,400,621.50 = 126,400,621.50/x
  3. Step 3: Cross multiply
    61,074,546.75x = 126,400,621.50 × 126,400,621.50
  4. Step 4: Simplify right side
    61,074,546.75x = 15,977,117,115,586,262
  5. Step 5: Solve for x
    x = 15,977,117,115,586,262/61,074,546.75
  6. Step 6: Final answer
    x = 261,600,256.83

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.