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Finding the Third Proportional to 6,302,980 and 13,831,400

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Solution

The third proportional to 6,302,980 and 13,831,400 is: 30,351,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302,980 : 13,831,400 = 13,831,400 : x
  2. Step 2: Convert to fraction form
    6,302,980/13,831,400 = 13,831,400/x
  3. Step 3: Cross multiply
    6,302,980x = 13,831,400 × 13,831,400
  4. Step 4: Simplify right side
    6,302,980x = 191,307,625,960,000
  5. Step 5: Solve for x
    x = 191,307,625,960,000/6,302,980
  6. Step 6: Final answer
    x = 30,351,932.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.