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Finding the Third Proportional to 5,041,378.50 and 7,748,961

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Solution

The third proportional to 5,041,378.50 and 7,748,961 is: 11,910,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041,378.50 : 7,748,961 = 7,748,961 : x
  2. Step 2: Convert to fraction form
    5,041,378.50/7,748,961 = 7,748,961/x
  3. Step 3: Cross multiply
    5,041,378.50x = 7,748,961 × 7,748,961
  4. Step 4: Simplify right side
    5,041,378.50x = 60,046,396,579,521
  5. Step 5: Solve for x
    x = 60,046,396,579,521/5,041,378.50
  6. Step 6: Final answer
    x = 11,910,709.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.