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Finding the Third Proportional to 76,933,838 and 162,452,380

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Solution

The third proportional to 76,933,838 and 162,452,380 is: 343,032,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,933,838 : 162,452,380 = 162,452,380 : x
  2. Step 2: Convert to fraction form
    76,933,838/162,452,380 = 162,452,380/x
  3. Step 3: Cross multiply
    76,933,838x = 162,452,380 × 162,452,380
  4. Step 4: Simplify right side
    76,933,838x = 26,390,775,767,664,400
  5. Step 5: Solve for x
    x = 26,390,775,767,664,400/76,933,838
  6. Step 6: Final answer
    x = 343,032,096.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.