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Finding the Third Proportional to 31,519,560 and 69,017,784

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Solution

The third proportional to 31,519,560 and 69,017,784 is: 151,126,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,519,560 : 69,017,784 = 69,017,784 : x
  2. Step 2: Convert to fraction form
    31,519,560/69,017,784 = 69,017,784/x
  3. Step 3: Cross multiply
    31,519,560x = 69,017,784 × 69,017,784
  4. Step 4: Simplify right side
    31,519,560x = 4,763,454,508,270,656
  5. Step 5: Solve for x
    x = 4,763,454,508,270,656/31,519,560
  6. Step 6: Final answer
    x = 151,126,935.41

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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.