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Finding the Third Proportional to 2,831,586 and 6,113,964

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Solution

The third proportional to 2,831,586 and 6,113,964 is: 13,201,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831,586 : 6,113,964 = 6,113,964 : x
  2. Step 2: Convert to fraction form
    2,831,586/6,113,964 = 6,113,964/x
  3. Step 3: Cross multiply
    2,831,586x = 6,113,964 × 6,113,964
  4. Step 4: Simplify right side
    2,831,586x = 37,380,555,793,296
  5. Step 5: Solve for x
    x = 37,380,555,793,296/2,831,586
  6. Step 6: Final answer
    x = 13,201,278.65

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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.