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Finding the Third Proportional to 31,844,018.53 and 69,650,144.58

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Solution

The third proportional to 31,844,018.53 and 69,650,144.58 is: 152,340,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,844,018.53 : 69,650,144.58 = 69,650,144.58 : x
  2. Step 2: Convert to fraction form
    31,844,018.53/69,650,144.58 = 69,650,144.58/x
  3. Step 3: Cross multiply
    31,844,018.53x = 69,650,144.58 × 69,650,144.58
  4. Step 4: Simplify right side
    31,844,018.53x = 4,851,142,639,753,715
  5. Step 5: Solve for x
    x = 4,851,142,639,753,715/31,844,018.53
  6. Step 6: Final answer
    x = 152,340,780.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.