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Finding the Third Proportional to 31,769,799 and 69,365,793

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Solution

The third proportional to 31,769,799 and 69,365,793 is: 151,452,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,769,799 : 69,365,793 = 69,365,793 : x
  2. Step 2: Convert to fraction form
    31,769,799/69,365,793 = 69,365,793/x
  3. Step 3: Cross multiply
    31,769,799x = 69,365,793 × 69,365,793
  4. Step 4: Simplify right side
    31,769,799x = 4,811,613,238,518,849
  5. Step 5: Solve for x
    x = 4,811,613,238,518,849/31,769,799
  6. Step 6: Final answer
    x = 151,452,429.35

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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.