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Finding the Third Proportional to 4,748,432 and 11,198,016

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Solution

The third proportional to 4,748,432 and 11,198,016 is: 26,407,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748,432 : 11,198,016 = 11,198,016 : x
  2. Step 2: Convert to fraction form
    4,748,432/11,198,016 = 11,198,016/x
  3. Step 3: Cross multiply
    4,748,432x = 11,198,016 × 11,198,016
  4. Step 4: Simplify right side
    4,748,432x = 125,395,562,336,256
  5. Step 5: Solve for x
    x = 125,395,562,336,256/4,748,432
  6. Step 6: Final answer
    x = 26,407,783.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.