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Finding the Third Proportional to 10,802,374.50 and 16,564,371.75

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Solution

The third proportional to 10,802,374.50 and 16,564,371.75 is: 25,399,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802,374.50 : 16,564,371.75 = 16,564,371.75 : x
  2. Step 2: Convert to fraction form
    10,802,374.50/16,564,371.75 = 16,564,371.75/x
  3. Step 3: Cross multiply
    10,802,374.50x = 16,564,371.75 × 16,564,371.75
  4. Step 4: Simplify right side
    10,802,374.50x = 274,378,411,472,198.06
  5. Step 5: Solve for x
    x = 274,378,411,472,198.06/10,802,374.50
  6. Step 6: Final answer
    x = 25,399,824.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.