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Finding the Third Proportional to 8,202,085 and 17,948,921.50

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Solution

The third proportional to 8,202,085 and 17,948,921.50 is: 39,278,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,085 : 17,948,921.50 = 17,948,921.50 : x
  2. Step 2: Convert to fraction form
    8,202,085/17,948,921.50 = 17,948,921.50/x
  3. Step 3: Cross multiply
    8,202,085x = 17,948,921.50 × 17,948,921.50
  4. Step 4: Simplify right side
    8,202,085x = 322,163,783,013,162.25
  5. Step 5: Solve for x
    x = 322,163,783,013,162.25/8,202,085
  6. Step 6: Final answer
    x = 39,278,279.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.