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Finding the Third Proportional to 6,587,472.66 and 14,274,418.22

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Solution

The third proportional to 6,587,472.66 and 14,274,418.22 is: 30,931,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587,472.66 : 14,274,418.22 = 14,274,418.22 : x
  2. Step 2: Convert to fraction form
    6,587,472.66/14,274,418.22 = 14,274,418.22/x
  3. Step 3: Cross multiply
    6,587,472.66x = 14,274,418.22 × 14,274,418.22
  4. Step 4: Simplify right side
    6,587,472.66x = 203,759,015,483,781.94
  5. Step 5: Solve for x
    x = 203,759,015,483,781.94/6,587,472.66
  6. Step 6: Final answer
    x = 30,931,288.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.