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Finding the Third Proportional to 71,738,966 and 100,663,986

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Solution

The third proportional to 71,738,966 and 100,663,986 is: 141,251,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,738,966 : 100,663,986 = 100,663,986 : x
  2. Step 2: Convert to fraction form
    71,738,966/100,663,986 = 100,663,986/x
  3. Step 3: Cross multiply
    71,738,966x = 100,663,986 × 100,663,986
  4. Step 4: Simplify right side
    71,738,966x = 10,133,238,077,408,196
  5. Step 5: Solve for x
    x = 10,133,238,077,408,196/71,738,966
  6. Step 6: Final answer
    x = 141,251,521.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.