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Finding the Third Proportional to 3,883,102.50 and 6,078,170.25

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Solution

The third proportional to 3,883,102.50 and 6,078,170.25 is: 9,514,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883,102.50 : 6,078,170.25 = 6,078,170.25 : x
  2. Step 2: Convert to fraction form
    3,883,102.50/6,078,170.25 = 6,078,170.25/x
  3. Step 3: Cross multiply
    3,883,102.50x = 6,078,170.25 × 6,078,170.25
  4. Step 4: Simplify right side
    3,883,102.50x = 36,944,153,587,985.06
  5. Step 5: Solve for x
    x = 36,944,153,587,985.06/3,883,102.50
  6. Step 6: Final answer
    x = 9,514,081.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.