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Finding the Third Proportional to 3,985,202 and 8,253,971.50

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Solution

The third proportional to 3,985,202 and 8,253,971.50 is: 17,095,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985,202 : 8,253,971.50 = 8,253,971.50 : x
  2. Step 2: Convert to fraction form
    3,985,202/8,253,971.50 = 8,253,971.50/x
  3. Step 3: Cross multiply
    3,985,202x = 8,253,971.50 × 8,253,971.50
  4. Step 4: Simplify right side
    3,985,202x = 68,128,045,522,812.25
  5. Step 5: Solve for x
    x = 68,128,045,522,812.25/3,985,202
  6. Step 6: Final answer
    x = 17,095,255.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.