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Finding the Third Proportional to 38,310,600 and 85,124,257

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Solution

The third proportional to 38,310,600 and 85,124,257 is: 189,141,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,310,600 : 85,124,257 = 85,124,257 : x
  2. Step 2: Convert to fraction form
    38,310,600/85,124,257 = 85,124,257/x
  3. Step 3: Cross multiply
    38,310,600x = 85,124,257 × 85,124,257
  4. Step 4: Simplify right side
    38,310,600x = 7,246,139,129,802,049
  5. Step 5: Solve for x
    x = 7,246,139,129,802,049/38,310,600
  6. Step 6: Final answer
    x = 189,141,885.79

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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.