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Finding the Third Proportional to 3,251,498.50 and 7,529,503

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Solution

The third proportional to 3,251,498.50 and 7,529,503 is: 17,436,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,498.50 : 7,529,503 = 7,529,503 : x
  2. Step 2: Convert to fraction form
    3,251,498.50/7,529,503 = 7,529,503/x
  3. Step 3: Cross multiply
    3,251,498.50x = 7,529,503 × 7,529,503
  4. Step 4: Simplify right side
    3,251,498.50x = 56,693,415,427,009
  5. Step 5: Solve for x
    x = 56,693,415,427,009/3,251,498.50
  6. Step 6: Final answer
    x = 17,436,088.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.