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Finding the Third Proportional to 51,729,187 and 86,211,658

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Solution

The third proportional to 51,729,187 and 86,211,658 is: 143,680,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,729,187 : 86,211,658 = 86,211,658 : x
  2. Step 2: Convert to fraction form
    51,729,187/86,211,658 = 86,211,658/x
  3. Step 3: Cross multiply
    51,729,187x = 86,211,658 × 86,211,658
  4. Step 4: Simplify right side
    51,729,187x = 7,432,449,975,108,964
  5. Step 5: Solve for x
    x = 7,432,449,975,108,964/51,729,187
  6. Step 6: Final answer
    x = 143,680,007.48

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.