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Finding the Third Proportional to 26,057,821.50 and 51,461,649

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Solution

The third proportional to 26,057,821.50 and 51,461,649 is: 101,631,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,057,821.50 : 51,461,649 = 51,461,649 : x
  2. Step 2: Convert to fraction form
    26,057,821.50/51,461,649 = 51,461,649/x
  3. Step 3: Cross multiply
    26,057,821.50x = 51,461,649 × 51,461,649
  4. Step 4: Simplify right side
    26,057,821.50x = 2,648,301,317,799,201
  5. Step 5: Solve for x
    x = 2,648,301,317,799,201/26,057,821.50
  6. Step 6: Final answer
    x = 101,631,723.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.