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Finding the Third Proportional to 2,376,171 and 5,208,331.50

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Solution

The third proportional to 2,376,171 and 5,208,331.50 is: 11,416,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,171 : 5,208,331.50 = 5,208,331.50 : x
  2. Step 2: Convert to fraction form
    2,376,171/5,208,331.50 = 5,208,331.50/x
  3. Step 3: Cross multiply
    2,376,171x = 5,208,331.50 × 5,208,331.50
  4. Step 4: Simplify right side
    2,376,171x = 27,126,717,013,892.25
  5. Step 5: Solve for x
    x = 27,126,717,013,892.25/2,376,171
  6. Step 6: Final answer
    x = 11,416,146.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.