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Finding the Third Proportional to 34,717,262 and 75,606,400

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Solution

The third proportional to 34,717,262 and 75,606,400 is: 164,653,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,717,262 : 75,606,400 = 75,606,400 : x
  2. Step 2: Convert to fraction form
    34,717,262/75,606,400 = 75,606,400/x
  3. Step 3: Cross multiply
    34,717,262x = 75,606,400 × 75,606,400
  4. Step 4: Simplify right side
    34,717,262x = 5,716,327,720,960,000
  5. Step 5: Solve for x
    x = 5,716,327,720,960,000/34,717,262
  6. Step 6: Final answer
    x = 164,653,759.88

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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.