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Finding the Third Proportional to 8,083,717.50 and 12,209,503.50

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Solution

The third proportional to 8,083,717.50 and 12,209,503.50 is: 18,441,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083,717.50 : 12,209,503.50 = 12,209,503.50 : x
  2. Step 2: Convert to fraction form
    8,083,717.50/12,209,503.50 = 12,209,503.50/x
  3. Step 3: Cross multiply
    8,083,717.50x = 12,209,503.50 × 12,209,503.50
  4. Step 4: Simplify right side
    8,083,717.50x = 149,071,975,716,512.25
  5. Step 5: Solve for x
    x = 149,071,975,716,512.25/8,083,717.50
  6. Step 6: Final answer
    x = 18,441,017.48

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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.