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Finding the Third Proportional to 3,097,696.88 and 6,710,135.25

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Solution

The third proportional to 3,097,696.88 and 6,710,135.25 is: 14,535,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,696.88 : 6,710,135.25 = 6,710,135.25 : x
  2. Step 2: Convert to fraction form
    3,097,696.88/6,710,135.25 = 6,710,135.25/x
  3. Step 3: Cross multiply
    3,097,696.88x = 6,710,135.25 × 6,710,135.25
  4. Step 4: Simplify right side
    3,097,696.88x = 45,025,915,073,292.56
  5. Step 5: Solve for x
    x = 45,025,915,073,292.56/3,097,696.88
  6. Step 6: Final answer
    x = 14,535,287.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.