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Finding the Third Proportional to 51,250,209 and 82,529,717.25

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Solution

The third proportional to 51,250,209 and 82,529,717.25 is: 132,900,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,250,209 : 82,529,717.25 = 82,529,717.25 : x
  2. Step 2: Convert to fraction form
    51,250,209/82,529,717.25 = 82,529,717.25/x
  3. Step 3: Cross multiply
    51,250,209x = 82,529,717.25 × 82,529,717.25
  4. Step 4: Simplify right side
    51,250,209x = 6,811,154,229,364,948
  5. Step 5: Solve for x
    x = 6,811,154,229,364,948/51,250,209
  6. Step 6: Final answer
    x = 132,900,028.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.