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Finding the Third Proportional to 76,933,834 and 162,452,372

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Solution

The third proportional to 76,933,834 and 162,452,372 is: 343,032,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,933,834 : 162,452,372 = 162,452,372 : x
  2. Step 2: Convert to fraction form
    76,933,834/162,452,372 = 162,452,372/x
  3. Step 3: Cross multiply
    76,933,834x = 162,452,372 × 162,452,372
  4. Step 4: Simplify right side
    76,933,834x = 26,390,773,168,426,384
  5. Step 5: Solve for x
    x = 26,390,773,168,426,384/76,933,834
  6. Step 6: Final answer
    x = 343,032,080.90

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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.