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Finding the Third Proportional to 29,727,036 and 65,299,921.50

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Solution

The third proportional to 29,727,036 and 65,299,921.50 is: 143,441,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727,036 : 65,299,921.50 = 65,299,921.50 : x
  2. Step 2: Convert to fraction form
    29,727,036/65,299,921.50 = 65,299,921.50/x
  3. Step 3: Cross multiply
    29,727,036x = 65,299,921.50 × 65,299,921.50
  4. Step 4: Simplify right side
    29,727,036x = 4,264,079,747,906,162
  5. Step 5: Solve for x
    x = 4,264,079,747,906,162/29,727,036
  6. Step 6: Final answer
    x = 143,441,133.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.