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Finding the Third Proportional to 31,449,948.47 and 67,271,983.31

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Solution

The third proportional to 31,449,948.47 and 67,271,983.31 is: 143,895,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449,948.47 : 67,271,983.31 = 67,271,983.31 : x
  2. Step 2: Convert to fraction form
    31,449,948.47/67,271,983.31 = 67,271,983.31/x
  3. Step 3: Cross multiply
    31,449,948.47x = 67,271,983.31 × 67,271,983.31
  4. Step 4: Simplify right side
    31,449,948.47x = 4,525,519,738,797,278
  5. Step 5: Solve for x
    x = 4,525,519,738,797,278/31,449,948.47
  6. Step 6: Final answer
    x = 143,895,934.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.