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Finding the Third Proportional to 6,373,728 and 14,931,216

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Solution

The third proportional to 6,373,728 and 14,931,216 is: 34,978,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373,728 : 14,931,216 = 14,931,216 : x
  2. Step 2: Convert to fraction form
    6,373,728/14,931,216 = 14,931,216/x
  3. Step 3: Cross multiply
    6,373,728x = 14,931,216 × 14,931,216
  4. Step 4: Simplify right side
    6,373,728x = 222,941,211,238,656
  5. Step 5: Solve for x
    x = 222,941,211,238,656/6,373,728
  6. Step 6: Final answer
    x = 34,978,149.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.