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Finding the Third Proportional to 30,002,844 and 65,457,081

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Solution

The third proportional to 30,002,844 and 65,457,081 is: 142,807,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002,844 : 65,457,081 = 65,457,081 : x
  2. Step 2: Convert to fraction form
    30,002,844/65,457,081 = 65,457,081/x
  3. Step 3: Cross multiply
    30,002,844x = 65,457,081 × 65,457,081
  4. Step 4: Simplify right side
    30,002,844x = 4,284,629,453,040,561
  5. Step 5: Solve for x
    x = 4,284,629,453,040,561/30,002,844
  6. Step 6: Final answer
    x = 142,807,443.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.