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Finding the Third Proportional to 7,460,473.50 and 11,863,302.75

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Solution

The third proportional to 7,460,473.50 and 11,863,302.75 is: 18,864,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460,473.50 : 11,863,302.75 = 11,863,302.75 : x
  2. Step 2: Convert to fraction form
    7,460,473.50/11,863,302.75 = 11,863,302.75/x
  3. Step 3: Cross multiply
    7,460,473.50x = 11,863,302.75 × 11,863,302.75
  4. Step 4: Simplify right side
    7,460,473.50x = 140,737,952,138,157.56
  5. Step 5: Solve for x
    x = 140,737,952,138,157.56/7,460,473.50
  6. Step 6: Final answer
    x = 18,864,479.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.