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Finding the Third Proportional to 51,407,060 and 68,535,102

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Solution

The third proportional to 51,407,060 and 68,535,102 is: 91,369,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,407,060 : 68,535,102 = 68,535,102 : x
  2. Step 2: Convert to fraction form
    51,407,060/68,535,102 = 68,535,102/x
  3. Step 3: Cross multiply
    51,407,060x = 68,535,102 × 68,535,102
  4. Step 4: Simplify right side
    51,407,060x = 4,697,060,206,150,404
  5. Step 5: Solve for x
    x = 4,697,060,206,150,404/51,407,060
  6. Step 6: Final answer
    x = 91,369,944.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.