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Finding the Third Proportional to 2,123,695,112 and 3,215,051,858

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Solution

The third proportional to 2,123,695,112 and 3,215,051,858 is: 4,867,251,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,695,112 : 3,215,051,858 = 3,215,051,858 : x
  2. Step 2: Convert to fraction form
    2,123,695,112/3,215,051,858 = 3,215,051,858/x
  3. Step 3: Cross multiply
    2,123,695,112x = 3,215,051,858 × 3,215,051,858
  4. Step 4: Simplify right side
    2,123,695,112x = 10,336,558,449,629,251,584
  5. Step 5: Solve for x
    x = 10,336,558,449,629,251,584/2,123,695,112
  6. Step 6: Final answer
    x = 4,867,251,608.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.