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Finding the Third Proportional to 38,310,598 and 85,124,252.25

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Solution

The third proportional to 38,310,598 and 85,124,252.25 is: 189,141,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,310,598 : 85,124,252.25 = 85,124,252.25 : x
  2. Step 2: Convert to fraction form
    38,310,598/85,124,252.25 = 85,124,252.25/x
  3. Step 3: Cross multiply
    38,310,598x = 85,124,252.25 × 85,124,252.25
  4. Step 4: Simplify right side
    38,310,598x = 7,246,138,321,121,630
  5. Step 5: Solve for x
    x = 7,246,138,321,121,630/38,310,598
  6. Step 6: Final answer
    x = 189,141,874.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.