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Finding the Third Proportional to 5,941,364 and 8,661,678

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Solution

The third proportional to 5,941,364 and 8,661,678 is: 12,627,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941,364 : 8,661,678 = 8,661,678 : x
  2. Step 2: Convert to fraction form
    5,941,364/8,661,678 = 8,661,678/x
  3. Step 3: Cross multiply
    5,941,364x = 8,661,678 × 8,661,678
  4. Step 4: Simplify right side
    5,941,364x = 75,024,665,775,684
  5. Step 5: Solve for x
    x = 75,024,665,775,684/5,941,364
  6. Step 6: Final answer
    x = 12,627,515.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.