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Finding the Third Proportional to 8,231,253 and 17,726,750

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Solution

The third proportional to 8,231,253 and 17,726,750 is: 38,176,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231,253 : 17,726,750 = 17,726,750 : x
  2. Step 2: Convert to fraction form
    8,231,253/17,726,750 = 17,726,750/x
  3. Step 3: Cross multiply
    8,231,253x = 17,726,750 × 17,726,750
  4. Step 4: Simplify right side
    8,231,253x = 314,237,665,562,500
  5. Step 5: Solve for x
    x = 314,237,665,562,500/8,231,253
  6. Step 6: Final answer
    x = 38,176,164.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.