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Finding the Third Proportional to 61,074,551.25 and 126,400,630.50

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Solution

The third proportional to 61,074,551.25 and 126,400,630.50 is: 261,600,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,074,551.25 : 126,400,630.50 = 126,400,630.50 : x
  2. Step 2: Convert to fraction form
    61,074,551.25/126,400,630.50 = 126,400,630.50/x
  3. Step 3: Cross multiply
    61,074,551.25x = 126,400,630.50 × 126,400,630.50
  4. Step 4: Simplify right side
    61,074,551.25x = 15,977,119,390,797,530
  5. Step 5: Solve for x
    x = 15,977,119,390,797,530/61,074,551.25
  6. Step 6: Final answer
    x = 261,600,274.81

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Why These Related Problems?

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