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Finding the Third Proportional to 4,728,982 and 7,143,137

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Solution

The third proportional to 4,728,982 and 7,143,137 is: 10,789,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728,982 : 7,143,137 = 7,143,137 : x
  2. Step 2: Convert to fraction form
    4,728,982/7,143,137 = 7,143,137/x
  3. Step 3: Cross multiply
    4,728,982x = 7,143,137 × 7,143,137
  4. Step 4: Simplify right side
    4,728,982x = 51,024,406,200,769
  5. Step 5: Solve for x
    x = 51,024,406,200,769/4,728,982
  6. Step 6: Final answer
    x = 10,789,723.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.