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Finding the Third Proportional to 40,793,216 and 87,649,128

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Solution

The third proportional to 40,793,216 and 87,649,128 is: 188,324,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,793,216 : 87,649,128 = 87,649,128 : x
  2. Step 2: Convert to fraction form
    40,793,216/87,649,128 = 87,649,128/x
  3. Step 3: Cross multiply
    40,793,216x = 87,649,128 × 87,649,128
  4. Step 4: Simplify right side
    40,793,216x = 7,682,369,639,160,384
  5. Step 5: Solve for x
    x = 7,682,369,639,160,384/40,793,216
  6. Step 6: Final answer
    x = 188,324,687.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.