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Finding the Third Proportional to 5,613,322 and 8,206,872.50

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Solution

The third proportional to 5,613,322 and 8,206,872.50 is: 11,998,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613,322 : 8,206,872.50 = 8,206,872.50 : x
  2. Step 2: Convert to fraction form
    5,613,322/8,206,872.50 = 8,206,872.50/x
  3. Step 3: Cross multiply
    5,613,322x = 8,206,872.50 × 8,206,872.50
  4. Step 4: Simplify right side
    5,613,322x = 67,352,756,231,256.25
  5. Step 5: Solve for x
    x = 67,352,756,231,256.25/5,613,322
  6. Step 6: Final answer
    x = 11,998,733.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.