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Finding the Third Proportional to 6,464,788 and 14,141,176

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Solution

The third proportional to 6,464,788 and 14,141,176 is: 30,932,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,788 : 14,141,176 = 14,141,176 : x
  2. Step 2: Convert to fraction form
    6,464,788/14,141,176 = 14,141,176/x
  3. Step 3: Cross multiply
    6,464,788x = 14,141,176 × 14,141,176
  4. Step 4: Simplify right side
    6,464,788x = 199,972,858,662,976
  5. Step 5: Solve for x
    x = 199,972,858,662,976/6,464,788
  6. Step 6: Final answer
    x = 30,932,624.34

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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.