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Finding the Third Proportional to 9,476,827.88 and 14,557,446.56

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Solution

The third proportional to 9,476,827.88 and 14,557,446.56 is: 22,361,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,827.88 : 14,557,446.56 = 14,557,446.56 : x
  2. Step 2: Convert to fraction form
    9,476,827.88/14,557,446.56 = 14,557,446.56/x
  3. Step 3: Cross multiply
    9,476,827.88x = 14,557,446.56 × 14,557,446.56
  4. Step 4: Simplify right side
    9,476,827.88x = 211,919,250,420,043.06
  5. Step 5: Solve for x
    x = 211,919,250,420,043.06/9,476,827.88
  6. Step 6: Final answer
    x = 22,361,833.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.