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Finding the Third Proportional to 23,471,878 and 35,905,229

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Solution

The third proportional to 23,471,878 and 35,905,229 is: 54,924,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471,878 : 35,905,229 = 35,905,229 : x
  2. Step 2: Convert to fraction form
    23,471,878/35,905,229 = 35,905,229/x
  3. Step 3: Cross multiply
    23,471,878x = 35,905,229 × 35,905,229
  4. Step 4: Simplify right side
    23,471,878x = 1,289,185,469,542,441
  5. Step 5: Solve for x
    x = 1,289,185,469,542,441/23,471,878
  6. Step 6: Final answer
    x = 54,924,683.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.