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Finding the Third Proportional to 76,933,832 and 162,452,368

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Solution

The third proportional to 76,933,832 and 162,452,368 is: 343,032,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,933,832 : 162,452,368 = 162,452,368 : x
  2. Step 2: Convert to fraction form
    76,933,832/162,452,368 = 162,452,368/x
  3. Step 3: Cross multiply
    76,933,832x = 162,452,368 × 162,452,368
  4. Step 4: Simplify right side
    76,933,832x = 26,390,771,868,807,424
  5. Step 5: Solve for x
    x = 26,390,771,868,807,424/76,933,832
  6. Step 6: Final answer
    x = 343,032,072.92

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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.