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Finding the Third Proportional to 4,027,473 and 6,099,705

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Solution

The third proportional to 4,027,473 and 6,099,705 is: 9,238,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027,473 : 6,099,705 = 6,099,705 : x
  2. Step 2: Convert to fraction form
    4,027,473/6,099,705 = 6,099,705/x
  3. Step 3: Cross multiply
    4,027,473x = 6,099,705 × 6,099,705
  4. Step 4: Simplify right side
    4,027,473x = 37,206,401,087,025
  5. Step 5: Solve for x
    x = 37,206,401,087,025/4,027,473
  6. Step 6: Final answer
    x = 9,238,150.35

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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.