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Finding the Third Proportional to 2,377,866 and 5,300,332

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Solution

The third proportional to 2,377,866 and 5,300,332 is: 11,814,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377,866 : 5,300,332 = 5,300,332 : x
  2. Step 2: Convert to fraction form
    2,377,866/5,300,332 = 5,300,332/x
  3. Step 3: Cross multiply
    2,377,866x = 5,300,332 × 5,300,332
  4. Step 4: Simplify right side
    2,377,866x = 28,093,519,310,224
  5. Step 5: Solve for x
    x = 28,093,519,310,224/2,377,866
  6. Step 6: Final answer
    x = 11,814,593.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.