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Finding the Third Proportional to 57,466,016 and 127,686,608

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Solution

The third proportional to 57,466,016 and 127,686,608 is: 283,713,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,466,016 : 127,686,608 = 127,686,608 : x
  2. Step 2: Convert to fraction form
    57,466,016/127,686,608 = 127,686,608/x
  3. Step 3: Cross multiply
    57,466,016x = 127,686,608 × 127,686,608
  4. Step 4: Simplify right side
    57,466,016x = 16,303,869,862,545,664
  5. Step 5: Solve for x
    x = 16,303,869,862,545,664/57,466,016
  6. Step 6: Final answer
    x = 283,713,244.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.