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Finding the Third Proportional to 6,809,406 and 10,117,644

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Solution

The third proportional to 6,809,406 and 10,117,644 is: 15,033,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809,406 : 10,117,644 = 10,117,644 : x
  2. Step 2: Convert to fraction form
    6,809,406/10,117,644 = 10,117,644/x
  3. Step 3: Cross multiply
    6,809,406x = 10,117,644 × 10,117,644
  4. Step 4: Simplify right side
    6,809,406x = 102,366,720,110,736
  5. Step 5: Solve for x
    x = 102,366,720,110,736/6,809,406
  6. Step 6: Final answer
    x = 15,033,135.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.