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Finding the Third Proportional to 4,200,396 and 9,161,016

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Solution

The third proportional to 4,200,396 and 9,161,016 is: 19,980,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,396 : 9,161,016 = 9,161,016 : x
  2. Step 2: Convert to fraction form
    4,200,396/9,161,016 = 9,161,016/x
  3. Step 3: Cross multiply
    4,200,396x = 9,161,016 × 9,161,016
  4. Step 4: Simplify right side
    4,200,396x = 83,924,214,152,256
  5. Step 5: Solve for x
    x = 83,924,214,152,256/4,200,396
  6. Step 6: Final answer
    x = 19,980,071.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.