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Finding the Third Proportional to 51,164,325 and 78,722,622

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Solution

The third proportional to 51,164,325 and 78,722,622 is: 121,124,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164,325 : 78,722,622 = 78,722,622 : x
  2. Step 2: Convert to fraction form
    51,164,325/78,722,622 = 78,722,622/x
  3. Step 3: Cross multiply
    51,164,325x = 78,722,622 × 78,722,622
  4. Step 4: Simplify right side
    51,164,325x = 6,197,251,214,554,884
  5. Step 5: Solve for x
    x = 6,197,251,214,554,884/51,164,325
  6. Step 6: Final answer
    x = 121,124,459.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.