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Finding the Third Proportional to 2,610,912,081 and 5,635,297,837.50

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Solution

The third proportional to 2,610,912,081 and 5,635,297,837.50 is: 12,163,022,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610,912,081 : 5,635,297,837.50 = 5,635,297,837.50 : x
  2. Step 2: Convert to fraction form
    2,610,912,081/5,635,297,837.50 = 5,635,297,837.50/x
  3. Step 3: Cross multiply
    2,610,912,081x = 5,635,297,837.50 × 5,635,297,837.50
  4. Step 4: Simplify right side
    2,610,912,081x = 31,756,581,717,332,176,896
  5. Step 5: Solve for x
    x = 31,756,581,717,332,176,896/2,610,912,081
  6. Step 6: Final answer
    x = 12,163,022,243.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.