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Finding the Third Proportional to 3,883,101 and 6,078,168

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Solution

The third proportional to 3,883,101 and 6,078,168 is: 9,514,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883,101 : 6,078,168 = 6,078,168 : x
  2. Step 2: Convert to fraction form
    3,883,101/6,078,168 = 6,078,168/x
  3. Step 3: Cross multiply
    3,883,101x = 6,078,168 × 6,078,168
  4. Step 4: Simplify right side
    3,883,101x = 36,944,126,236,224
  5. Step 5: Solve for x
    x = 36,944,126,236,224/3,883,101
  6. Step 6: Final answer
    x = 9,514,078.11

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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.