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Finding the Third Proportional to 6,151,261 and 14,372,120

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Solution

The third proportional to 6,151,261 and 14,372,120 is: 33,579,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151,261 : 14,372,120 = 14,372,120 : x
  2. Step 2: Convert to fraction form
    6,151,261/14,372,120 = 14,372,120/x
  3. Step 3: Cross multiply
    6,151,261x = 14,372,120 × 14,372,120
  4. Step 4: Simplify right side
    6,151,261x = 206,557,833,294,400
  5. Step 5: Solve for x
    x = 206,557,833,294,400/6,151,261
  6. Step 6: Final answer
    x = 33,579,754.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.