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Finding the Third Proportional to 3,026,164 and 6,511,544

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Solution

The third proportional to 3,026,164 and 6,511,544 is: 14,011,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026,164 : 6,511,544 = 6,511,544 : x
  2. Step 2: Convert to fraction form
    3,026,164/6,511,544 = 6,511,544/x
  3. Step 3: Cross multiply
    3,026,164x = 6,511,544 × 6,511,544
  4. Step 4: Simplify right side
    3,026,164x = 42,400,205,263,936
  5. Step 5: Solve for x
    x = 42,400,205,263,936/3,026,164
  6. Step 6: Final answer
    x = 14,011,205.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.