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Finding the Third Proportional to 14,281,208 and 31,396,416

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Solution

The third proportional to 14,281,208 and 31,396,416 is: 69,023,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281,208 : 31,396,416 = 31,396,416 : x
  2. Step 2: Convert to fraction form
    14,281,208/31,396,416 = 31,396,416/x
  3. Step 3: Cross multiply
    14,281,208x = 31,396,416 × 31,396,416
  4. Step 4: Simplify right side
    14,281,208x = 985,734,937,645,056
  5. Step 5: Solve for x
    x = 985,734,937,645,056/14,281,208
  6. Step 6: Final answer
    x = 69,023,218.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.