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Finding the Third Proportional to 31,839,648.50 and 68,220,072

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Solution

The third proportional to 31,839,648.50 and 68,220,072 is: 146,169,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839,648.50 : 68,220,072 = 68,220,072 : x
  2. Step 2: Convert to fraction form
    31,839,648.50/68,220,072 = 68,220,072/x
  3. Step 3: Cross multiply
    31,839,648.50x = 68,220,072 × 68,220,072
  4. Step 4: Simplify right side
    31,839,648.50x = 4,653,978,223,685,184
  5. Step 5: Solve for x
    x = 4,653,978,223,685,184/31,839,648.50
  6. Step 6: Final answer
    x = 146,169,271.43

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Why These Related Problems?

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