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Finding the Third Proportional to 9,061,825 and 13,724,352

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Solution

The third proportional to 9,061,825 and 13,724,352 is: 20,785,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,061,825 : 13,724,352 = 13,724,352 : x
  2. Step 2: Convert to fraction form
    9,061,825/13,724,352 = 13,724,352/x
  3. Step 3: Cross multiply
    9,061,825x = 13,724,352 × 13,724,352
  4. Step 4: Simplify right side
    9,061,825x = 188,357,837,819,904
  5. Step 5: Solve for x
    x = 188,357,837,819,904/9,061,825
  6. Step 6: Final answer
    x = 20,785,861.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.