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Finding the Third Proportional to 6,824,474 and 14,934,580

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Solution

The third proportional to 6,824,474 and 14,934,580 is: 32,682,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824,474 : 14,934,580 = 14,934,580 : x
  2. Step 2: Convert to fraction form
    6,824,474/14,934,580 = 14,934,580/x
  3. Step 3: Cross multiply
    6,824,474x = 14,934,580 × 14,934,580
  4. Step 4: Simplify right side
    6,824,474x = 223,041,679,776,400
  5. Step 5: Solve for x
    x = 223,041,679,776,400/6,824,474
  6. Step 6: Final answer
    x = 32,682,618.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.