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Finding the Third Proportional to 34,727,647 and 75,433,741

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Solution

The third proportional to 34,727,647 and 75,433,741 is: 163,853,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,727,647 : 75,433,741 = 75,433,741 : x
  2. Step 2: Convert to fraction form
    34,727,647/75,433,741 = 75,433,741/x
  3. Step 3: Cross multiply
    34,727,647x = 75,433,741 × 75,433,741
  4. Step 4: Simplify right side
    34,727,647x = 5,690,249,281,255,081
  5. Step 5: Solve for x
    x = 5,690,249,281,255,081/34,727,647
  6. Step 6: Final answer
    x = 163,853,579.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.