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Finding the Third Proportional to 5,715,469.50 and 7,873,364.25

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Solution

The third proportional to 5,715,469.50 and 7,873,364.25 is: 10,845,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715,469.50 : 7,873,364.25 = 7,873,364.25 : x
  2. Step 2: Convert to fraction form
    5,715,469.50/7,873,364.25 = 7,873,364.25/x
  3. Step 3: Cross multiply
    5,715,469.50x = 7,873,364.25 × 7,873,364.25
  4. Step 4: Simplify right side
    5,715,469.50x = 61,989,864,613,178.06
  5. Step 5: Solve for x
    x = 61,989,864,613,178.06/5,715,469.50
  6. Step 6: Final answer
    x = 10,845,979.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.