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Finding the Third Proportional to 5,819,624.72 and 13,718,471.34

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Solution

The third proportional to 5,819,624.72 and 13,718,471.34 is: 32,338,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819,624.72 : 13,718,471.34 = 13,718,471.34 : x
  2. Step 2: Convert to fraction form
    5,819,624.72/13,718,471.34 = 13,718,471.34/x
  3. Step 3: Cross multiply
    5,819,624.72x = 13,718,471.34 × 13,718,471.34
  4. Step 4: Simplify right side
    5,819,624.72x = 188,196,456,009,289.94
  5. Step 5: Solve for x
    x = 188,196,456,009,289.94/5,819,624.72
  6. Step 6: Final answer
    x = 32,338,246.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.