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Finding the Third Proportional to 7,461,919.50 and 15,820,617

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Solution

The third proportional to 7,461,919.50 and 15,820,617 is: 33,542,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461,919.50 : 15,820,617 = 15,820,617 : x
  2. Step 2: Convert to fraction form
    7,461,919.50/15,820,617 = 15,820,617/x
  3. Step 3: Cross multiply
    7,461,919.50x = 15,820,617 × 15,820,617
  4. Step 4: Simplify right side
    7,461,919.50x = 250,291,922,260,689
  5. Step 5: Solve for x
    x = 250,291,922,260,689/7,461,919.50
  6. Step 6: Final answer
    x = 33,542,565.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.