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Finding the Third Proportional to 7,117,275.41 and 14,739,235.24

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Solution

The third proportional to 7,117,275.41 and 14,739,235.24 is: 30,523,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117,275.41 : 14,739,235.24 = 14,739,235.24 : x
  2. Step 2: Convert to fraction form
    7,117,275.41/14,739,235.24 = 14,739,235.24/x
  3. Step 3: Cross multiply
    7,117,275.41x = 14,739,235.24 × 14,739,235.24
  4. Step 4: Simplify right side
    7,117,275.41x = 217,245,055,524,556.72
  5. Step 5: Solve for x
    x = 217,245,055,524,556.72/7,117,275.41
  6. Step 6: Final answer
    x = 30,523,626.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.