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Finding the Third Proportional to 2,956,372 and 6,374,201

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Solution

The third proportional to 2,956,372 and 6,374,201 is: 13,743,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956,372 : 6,374,201 = 6,374,201 : x
  2. Step 2: Convert to fraction form
    2,956,372/6,374,201 = 6,374,201/x
  3. Step 3: Cross multiply
    2,956,372x = 6,374,201 × 6,374,201
  4. Step 4: Simplify right side
    2,956,372x = 40,630,438,388,401
  5. Step 5: Solve for x
    x = 40,630,438,388,401/2,956,372
  6. Step 6: Final answer
    x = 13,743,344.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.