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Finding the Third Proportional to 6,310,864 and 13,823,006

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Solution

The third proportional to 6,310,864 and 13,823,006 is: 30,277,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310,864 : 13,823,006 = 13,823,006 : x
  2. Step 2: Convert to fraction form
    6,310,864/13,823,006 = 13,823,006/x
  3. Step 3: Cross multiply
    6,310,864x = 13,823,006 × 13,823,006
  4. Step 4: Simplify right side
    6,310,864x = 191,075,494,876,036
  5. Step 5: Solve for x
    x = 191,075,494,876,036/6,310,864
  6. Step 6: Final answer
    x = 30,277,232.23

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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.