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Finding the Third Proportional to 31,073,478 and 47,042,073

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Solution

The third proportional to 31,073,478 and 47,042,073 is: 71,216,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073,478 : 47,042,073 = 47,042,073 : x
  2. Step 2: Convert to fraction form
    31,073,478/47,042,073 = 47,042,073/x
  3. Step 3: Cross multiply
    31,073,478x = 47,042,073 × 47,042,073
  4. Step 4: Simplify right side
    31,073,478x = 2,212,956,632,137,329
  5. Step 5: Solve for x
    x = 2,212,956,632,137,329/31,073,478
  6. Step 6: Final answer
    x = 71,216,895.39

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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.