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Finding the Third Proportional to 3,629,206.90 and 7,825,376.46

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Solution

The third proportional to 3,629,206.90 and 7,825,376.46 is: 16,873,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629,206.90 : 7,825,376.46 = 7,825,376.46 : x
  2. Step 2: Convert to fraction form
    3,629,206.90/7,825,376.46 = 7,825,376.46/x
  3. Step 3: Cross multiply
    3,629,206.90x = 7,825,376.46 × 7,825,376.46
  4. Step 4: Simplify right side
    3,629,206.90x = 61,236,516,755,386.88
  5. Step 5: Solve for x
    x = 61,236,516,755,386.88/3,629,206.90
  6. Step 6: Final answer
    x = 16,873,250.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.