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Finding the Third Proportional to 57,465,898 and 127,686,380

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Solution

The third proportional to 57,465,898 and 127,686,380 is: 283,712,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465,898 : 127,686,380 = 127,686,380 : x
  2. Step 2: Convert to fraction form
    57,465,898/127,686,380 = 127,686,380/x
  3. Step 3: Cross multiply
    57,465,898x = 127,686,380 × 127,686,380
  4. Step 4: Simplify right side
    57,465,898x = 16,303,811,637,504,400
  5. Step 5: Solve for x
    x = 16,303,811,637,504,400/57,465,898
  6. Step 6: Final answer
    x = 283,712,814.12

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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.