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Finding the Third Proportional to 39,135,342 and 83,006,274

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Solution

The third proportional to 39,135,342 and 83,006,274 is: 176,056,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,135,342 : 83,006,274 = 83,006,274 : x
  2. Step 2: Convert to fraction form
    39,135,342/83,006,274 = 83,006,274/x
  3. Step 3: Cross multiply
    39,135,342x = 83,006,274 × 83,006,274
  4. Step 4: Simplify right side
    39,135,342x = 6,890,041,523,363,076
  5. Step 5: Solve for x
    x = 6,890,041,523,363,076/39,135,342
  6. Step 6: Final answer
    x = 176,056,760.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.