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Finding the Third Proportional to 6,149,248.88 and 14,235,813.56

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Solution

The third proportional to 6,149,248.88 and 14,235,813.56 is: 32,956,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,248.88 : 14,235,813.56 = 14,235,813.56 : x
  2. Step 2: Convert to fraction form
    6,149,248.88/14,235,813.56 = 14,235,813.56/x
  3. Step 3: Cross multiply
    6,149,248.88x = 14,235,813.56 × 14,235,813.56
  4. Step 4: Simplify right side
    6,149,248.88x = 202,658,387,786,258.94
  5. Step 5: Solve for x
    x = 202,658,387,786,258.94/6,149,248.88
  6. Step 6: Final answer
    x = 32,956,608.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.