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Finding the Third Proportional to 35,936,427 and 78,169,286

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Solution

The third proportional to 35,936,427 and 78,169,286 is: 170,034,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,936,427 : 78,169,286 = 78,169,286 : x
  2. Step 2: Convert to fraction form
    35,936,427/78,169,286 = 78,169,286/x
  3. Step 3: Cross multiply
    35,936,427x = 78,169,286 × 78,169,286
  4. Step 4: Simplify right side
    35,936,427x = 6,110,437,273,749,796
  5. Step 5: Solve for x
    x = 6,110,437,273,749,796/35,936,427
  6. Step 6: Final answer
    x = 170,034,635.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.