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Finding the Third Proportional to 4,272,225 and 6,409,186.50

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Solution

The third proportional to 4,272,225 and 6,409,186.50 is: 9,615,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272,225 : 6,409,186.50 = 6,409,186.50 : x
  2. Step 2: Convert to fraction form
    4,272,225/6,409,186.50 = 6,409,186.50/x
  3. Step 3: Cross multiply
    4,272,225x = 6,409,186.50 × 6,409,186.50
  4. Step 4: Simplify right side
    4,272,225x = 41,077,671,591,782.25
  5. Step 5: Solve for x
    x = 41,077,671,591,782.25/4,272,225
  6. Step 6: Final answer
    x = 9,615,053.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.