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Finding the Third Proportional to 336,022,230 and 527,119,251

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Solution

The third proportional to 336,022,230 and 527,119,251 is: 826,893,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,022,230 : 527,119,251 = 527,119,251 : x
  2. Step 2: Convert to fraction form
    336,022,230/527,119,251 = 527,119,251/x
  3. Step 3: Cross multiply
    336,022,230x = 527,119,251 × 527,119,251
  4. Step 4: Simplify right side
    336,022,230x = 277,854,704,774,800,992
  5. Step 5: Solve for x
    x = 277,854,704,774,800,992/336,022,230
  6. Step 6: Final answer
    x = 826,893,818.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.