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Finding the Third Proportional to 38,825,433 and 83,031,664.50

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Solution

The third proportional to 38,825,433 and 83,031,664.50 is: 177,570,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,825,433 : 83,031,664.50 = 83,031,664.50 : x
  2. Step 2: Convert to fraction form
    38,825,433/83,031,664.50 = 83,031,664.50/x
  3. Step 3: Cross multiply
    38,825,433x = 83,031,664.50 × 83,031,664.50
  4. Step 4: Simplify right side
    38,825,433x = 6,894,257,309,640,560
  5. Step 5: Solve for x
    x = 6,894,257,309,640,560/38,825,433
  6. Step 6: Final answer
    x = 177,570,648.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.