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Finding the Third Proportional to 6,436,976 and 13,403,072

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Solution

The third proportional to 6,436,976 and 13,403,072 is: 27,907,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436,976 : 13,403,072 = 13,403,072 : x
  2. Step 2: Convert to fraction form
    6,436,976/13,403,072 = 13,403,072/x
  3. Step 3: Cross multiply
    6,436,976x = 13,403,072 × 13,403,072
  4. Step 4: Simplify right side
    6,436,976x = 179,642,339,037,184
  5. Step 5: Solve for x
    x = 179,642,339,037,184/6,436,976
  6. Step 6: Final answer
    x = 27,907,877.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.