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Finding the Third Proportional to 9,575,991 and 21,277,719

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Solution

The third proportional to 9,575,991 and 21,277,719 is: 47,278,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575,991 : 21,277,719 = 21,277,719 : x
  2. Step 2: Convert to fraction form
    9,575,991/21,277,719 = 21,277,719/x
  3. Step 3: Cross multiply
    9,575,991x = 21,277,719 × 21,277,719
  4. Step 4: Simplify right side
    9,575,991x = 452,741,325,842,961
  5. Step 5: Solve for x
    x = 452,741,325,842,961/9,575,991
  6. Step 6: Final answer
    x = 47,278,796.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.