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Finding the Third Proportional to 35,569,934 and 76,532,524

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Solution

The third proportional to 35,569,934 and 76,532,524 is: 164,667,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,569,934 : 76,532,524 = 76,532,524 : x
  2. Step 2: Convert to fraction form
    35,569,934/76,532,524 = 76,532,524/x
  3. Step 3: Cross multiply
    35,569,934x = 76,532,524 × 76,532,524
  4. Step 4: Simplify right side
    35,569,934x = 5,857,227,229,810,576
  5. Step 5: Solve for x
    x = 5,857,227,229,810,576/35,569,934
  6. Step 6: Final answer
    x = 164,667,925.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.