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Finding the Third Proportional to 5,147,309.53 and 7,548,920.30

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Solution

The third proportional to 5,147,309.53 and 7,548,920.30 is: 11,071,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147,309.53 : 7,548,920.30 = 7,548,920.30 : x
  2. Step 2: Convert to fraction form
    5,147,309.53/7,548,920.30 = 7,548,920.30/x
  3. Step 3: Cross multiply
    5,147,309.53x = 7,548,920.30 × 7,548,920.30
  4. Step 4: Simplify right side
    5,147,309.53x = 56,986,197,648,571.34
  5. Step 5: Solve for x
    x = 56,986,197,648,571.34/5,147,309.53
  6. Step 6: Final answer
    x = 11,071,064.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.