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Finding the Third Proportional to 4,614,507.75 and 7,163,614.50

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Solution

The third proportional to 4,614,507.75 and 7,163,614.50 is: 11,120,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614,507.75 : 7,163,614.50 = 7,163,614.50 : x
  2. Step 2: Convert to fraction form
    4,614,507.75/7,163,614.50 = 7,163,614.50/x
  3. Step 3: Cross multiply
    4,614,507.75x = 7,163,614.50 × 7,163,614.50
  4. Step 4: Simplify right side
    4,614,507.75x = 51,317,372,704,610.25
  5. Step 5: Solve for x
    x = 51,317,372,704,610.25/4,614,507.75
  6. Step 6: Final answer
    x = 11,120,876.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.