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Finding the Third Proportional to 31,232,678 and 48,627,927

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Solution

The third proportional to 31,232,678 and 48,627,927 is: 75,711,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232,678 : 48,627,927 = 48,627,927 : x
  2. Step 2: Convert to fraction form
    31,232,678/48,627,927 = 48,627,927/x
  3. Step 3: Cross multiply
    31,232,678x = 48,627,927 × 48,627,927
  4. Step 4: Simplify right side
    31,232,678x = 2,364,675,284,317,329
  5. Step 5: Solve for x
    x = 2,364,675,284,317,329/31,232,678
  6. Step 6: Final answer
    x = 75,711,576.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.