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Finding the Third Proportional to 31,053,741 and 47,015,823

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Solution

The third proportional to 31,053,741 and 47,015,823 is: 71,182,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053,741 : 47,015,823 = 47,015,823 : x
  2. Step 2: Convert to fraction form
    31,053,741/47,015,823 = 47,015,823/x
  3. Step 3: Cross multiply
    31,053,741x = 47,015,823 × 47,015,823
  4. Step 4: Simplify right side
    31,053,741x = 2,210,487,612,367,329
  5. Step 5: Solve for x
    x = 2,210,487,612,367,329/31,053,741
  6. Step 6: Final answer
    x = 71,182,651.15

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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.