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Finding the Third Proportional to 6,319,994.25 and 9,546,409.88

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Solution

The third proportional to 6,319,994.25 and 9,546,409.88 is: 14,419,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319,994.25 : 9,546,409.88 = 9,546,409.88 : x
  2. Step 2: Convert to fraction form
    6,319,994.25/9,546,409.88 = 9,546,409.88/x
  3. Step 3: Cross multiply
    6,319,994.25x = 9,546,409.88 × 9,546,409.88
  4. Step 4: Simplify right side
    6,319,994.25x = 91,133,941,501,497.52
  5. Step 5: Solve for x
    x = 91,133,941,501,497.52/6,319,994.25
  6. Step 6: Final answer
    x = 14,419,940.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.