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Finding the Third Proportional to 2,669,422.50 and 6,298,749

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Solution

The third proportional to 2,669,422.50 and 6,298,749 is: 14,862,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669,422.50 : 6,298,749 = 6,298,749 : x
  2. Step 2: Convert to fraction form
    2,669,422.50/6,298,749 = 6,298,749/x
  3. Step 3: Cross multiply
    2,669,422.50x = 6,298,749 × 6,298,749
  4. Step 4: Simplify right side
    2,669,422.50x = 39,674,238,965,001
  5. Step 5: Solve for x
    x = 39,674,238,965,001/2,669,422.50
  6. Step 6: Final answer
    x = 14,862,480.17

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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.