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Finding the Third Proportional to 4,562,233.50 and 7,061,733

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Solution

The third proportional to 4,562,233.50 and 7,061,733 is: 10,930,627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562,233.50 : 7,061,733 = 7,061,733 : x
  2. Step 2: Convert to fraction form
    4,562,233.50/7,061,733 = 7,061,733/x
  3. Step 3: Cross multiply
    4,562,233.50x = 7,061,733 × 7,061,733
  4. Step 4: Simplify right side
    4,562,233.50x = 49,868,072,963,289
  5. Step 5: Solve for x
    x = 49,868,072,963,289/4,562,233.50
  6. Step 6: Final answer
    x = 10,930,627.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.