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Finding the Third Proportional to 8,749,973 and 13,694,876

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Solution

The third proportional to 8,749,973 and 13,694,876 is: 21,434,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749,973 : 13,694,876 = 13,694,876 : x
  2. Step 2: Convert to fraction form
    8,749,973/13,694,876 = 13,694,876/x
  3. Step 3: Cross multiply
    8,749,973x = 13,694,876 × 13,694,876
  4. Step 4: Simplify right side
    8,749,973x = 187,549,628,655,376
  5. Step 5: Solve for x
    x = 187,549,628,655,376/8,749,973
  6. Step 6: Final answer
    x = 21,434,309.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.