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Finding the Third Proportional to 4,748,452 and 11,198,066

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Solution

The third proportional to 4,748,452 and 11,198,066 is: 26,407,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748,452 : 11,198,066 = 11,198,066 : x
  2. Step 2: Convert to fraction form
    4,748,452/11,198,066 = 11,198,066/x
  3. Step 3: Cross multiply
    4,748,452x = 11,198,066 × 11,198,066
  4. Step 4: Simplify right side
    4,748,452x = 125,396,682,140,356
  5. Step 5: Solve for x
    x = 125,396,682,140,356/4,748,452
  6. Step 6: Final answer
    x = 26,407,907.70

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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.