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Finding the Third Proportional to 9,289,328 and 13,660,816

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Solution

The third proportional to 9,289,328 and 13,660,816 is: 20,089,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289,328 : 13,660,816 = 13,660,816 : x
  2. Step 2: Convert to fraction form
    9,289,328/13,660,816 = 13,660,816/x
  3. Step 3: Cross multiply
    9,289,328x = 13,660,816 × 13,660,816
  4. Step 4: Simplify right side
    9,289,328x = 186,617,893,785,856
  5. Step 5: Solve for x
    x = 186,617,893,785,856/9,289,328
  6. Step 6: Final answer
    x = 20,089,493.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.