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Finding the Third Proportional to 12,274,593 and 18,411,887.25

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Solution

The third proportional to 12,274,593 and 18,411,887.25 is: 27,617,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274,593 : 18,411,887.25 = 18,411,887.25 : x
  2. Step 2: Convert to fraction form
    12,274,593/18,411,887.25 = 18,411,887.25/x
  3. Step 3: Cross multiply
    12,274,593x = 18,411,887.25 × 18,411,887.25
  4. Step 4: Simplify right side
    12,274,593x = 338,997,592,106,712.56
  5. Step 5: Solve for x
    x = 338,997,592,106,712.56/12,274,593
  6. Step 6: Final answer
    x = 27,617,827.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.