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Finding the Third Proportional to 39,133,200 and 81,031,200

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Solution

The third proportional to 39,133,200 and 81,031,200 is: 167,787,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,133,200 : 81,031,200 = 81,031,200 : x
  2. Step 2: Convert to fraction form
    39,133,200/81,031,200 = 81,031,200/x
  3. Step 3: Cross multiply
    39,133,200x = 81,031,200 × 81,031,200
  4. Step 4: Simplify right side
    39,133,200x = 6,566,055,373,440,000
  5. Step 5: Solve for x
    x = 6,566,055,373,440,000/39,133,200
  6. Step 6: Final answer
    x = 167,787,335.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.