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Finding the Third Proportional to 31,527,891 and 47,517,345

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Solution

The third proportional to 31,527,891 and 47,517,345 is: 71,615,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527,891 : 47,517,345 = 47,517,345 : x
  2. Step 2: Convert to fraction form
    31,527,891/47,517,345 = 47,517,345/x
  3. Step 3: Cross multiply
    31,527,891x = 47,517,345 × 47,517,345
  4. Step 4: Simplify right side
    31,527,891x = 2,257,898,075,849,025
  5. Step 5: Solve for x
    x = 2,257,898,075,849,025/31,527,891
  6. Step 6: Final answer
    x = 71,615,893.24

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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.