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Finding the Third Proportional to 5,144,419 and 7,523,412

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Solution

The third proportional to 5,144,419 and 7,523,412 is: 11,002,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144,419 : 7,523,412 = 7,523,412 : x
  2. Step 2: Convert to fraction form
    5,144,419/7,523,412 = 7,523,412/x
  3. Step 3: Cross multiply
    5,144,419x = 7,523,412 × 7,523,412
  4. Step 4: Simplify right side
    5,144,419x = 56,601,728,121,744
  5. Step 5: Solve for x
    x = 56,601,728,121,744/5,144,419
  6. Step 6: Final answer
    x = 11,002,550.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.