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Finding the Third Proportional to 2,523,322.50 and 5,472,564

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Solution

The third proportional to 2,523,322.50 and 5,472,564 is: 11,868,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,322.50 : 5,472,564 = 5,472,564 : x
  2. Step 2: Convert to fraction form
    2,523,322.50/5,472,564 = 5,472,564/x
  3. Step 3: Cross multiply
    2,523,322.50x = 5,472,564 × 5,472,564
  4. Step 4: Simplify right side
    2,523,322.50x = 29,948,956,734,096
  5. Step 5: Solve for x
    x = 29,948,956,734,096/2,523,322.50
  6. Step 6: Final answer
    x = 11,868,858.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.