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Finding the Third Proportional to 8,083,717.50 and 12,209,499

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Solution

The third proportional to 8,083,717.50 and 12,209,499 is: 18,441,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083,717.50 : 12,209,499 = 12,209,499 : x
  2. Step 2: Convert to fraction form
    8,083,717.50/12,209,499 = 12,209,499/x
  3. Step 3: Cross multiply
    8,083,717.50x = 12,209,499 × 12,209,499
  4. Step 4: Simplify right side
    8,083,717.50x = 149,071,865,831,001
  5. Step 5: Solve for x
    x = 149,071,865,831,001/8,083,717.50
  6. Step 6: Final answer
    x = 18,441,003.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.