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Finding the Third Proportional to 7,572,844.50 and 16,516,371.50

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Solution

The third proportional to 7,572,844.50 and 16,516,371.50 is: 36,022,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572,844.50 : 16,516,371.50 = 16,516,371.50 : x
  2. Step 2: Convert to fraction form
    7,572,844.50/16,516,371.50 = 16,516,371.50/x
  3. Step 3: Cross multiply
    7,572,844.50x = 16,516,371.50 × 16,516,371.50
  4. Step 4: Simplify right side
    7,572,844.50x = 272,790,527,526,012.25
  5. Step 5: Solve for x
    x = 272,790,527,526,012.25/7,572,844.50
  6. Step 6: Final answer
    x = 36,022,201.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.