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Finding the Third Proportional to 2,831,021 and 6,159,697

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Solution

The third proportional to 2,831,021 and 6,159,697 is: 13,402,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831,021 : 6,159,697 = 6,159,697 : x
  2. Step 2: Convert to fraction form
    2,831,021/6,159,697 = 6,159,697/x
  3. Step 3: Cross multiply
    2,831,021x = 6,159,697 × 6,159,697
  4. Step 4: Simplify right side
    2,831,021x = 37,941,867,131,809
  5. Step 5: Solve for x
    x = 37,941,867,131,809/2,831,021
  6. Step 6: Final answer
    x = 13,402,184.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.