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Finding the Third Proportional to 6,308,781.50 and 9,452,480

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Solution

The third proportional to 6,308,781.50 and 9,452,480 is: 14,162,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308,781.50 : 9,452,480 = 9,452,480 : x
  2. Step 2: Convert to fraction form
    6,308,781.50/9,452,480 = 9,452,480/x
  3. Step 3: Cross multiply
    6,308,781.50x = 9,452,480 × 9,452,480
  4. Step 4: Simplify right side
    6,308,781.50x = 89,349,378,150,400
  5. Step 5: Solve for x
    x = 89,349,378,150,400/6,308,781.50
  6. Step 6: Final answer
    x = 14,162,699.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.