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Finding the Third Proportional to 4,638,708 and 7,022,226

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Solution

The third proportional to 4,638,708 and 7,022,226 is: 10,630,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638,708 : 7,022,226 = 7,022,226 : x
  2. Step 2: Convert to fraction form
    4,638,708/7,022,226 = 7,022,226/x
  3. Step 3: Cross multiply
    4,638,708x = 7,022,226 × 7,022,226
  4. Step 4: Simplify right side
    4,638,708x = 49,311,657,995,076
  5. Step 5: Solve for x
    x = 49,311,657,995,076/4,638,708
  6. Step 6: Final answer
    x = 10,630,472.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.