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Finding the Third Proportional to 5,963,728 and 12,983,321

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Solution

The third proportional to 5,963,728 and 12,983,321 is: 28,265,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963,728 : 12,983,321 = 12,983,321 : x
  2. Step 2: Convert to fraction form
    5,963,728/12,983,321 = 12,983,321/x
  3. Step 3: Cross multiply
    5,963,728x = 12,983,321 × 12,983,321
  4. Step 4: Simplify right side
    5,963,728x = 168,566,624,189,041
  5. Step 5: Solve for x
    x = 168,566,624,189,041/5,963,728
  6. Step 6: Final answer
    x = 28,265,310.59

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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.