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Finding the Third Proportional to 5,386,923 and 11,628,468

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Solution

The third proportional to 5,386,923 and 11,628,468 is: 25,101,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,923 : 11,628,468 = 11,628,468 : x
  2. Step 2: Convert to fraction form
    5,386,923/11,628,468 = 11,628,468/x
  3. Step 3: Cross multiply
    5,386,923x = 11,628,468 × 11,628,468
  4. Step 4: Simplify right side
    5,386,923x = 135,221,268,027,024
  5. Step 5: Solve for x
    x = 135,221,268,027,024/5,386,923
  6. Step 6: Final answer
    x = 25,101,763.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.