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Finding the Third Proportional to 59,541,170 and 127,697,350

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Solution

The third proportional to 59,541,170 and 127,697,350 is: 273,871,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,541,170 : 127,697,350 = 127,697,350 : x
  2. Step 2: Convert to fraction form
    59,541,170/127,697,350 = 127,697,350/x
  3. Step 3: Cross multiply
    59,541,170x = 127,697,350 × 127,697,350
  4. Step 4: Simplify right side
    59,541,170x = 16,306,613,197,022,500
  5. Step 5: Solve for x
    x = 16,306,613,197,022,500/59,541,170
  6. Step 6: Final answer
    x = 273,871,225.52

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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.