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Finding the Third Proportional to 3,091,175.25 and 6,696,902.25

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Solution

The third proportional to 3,091,175.25 and 6,696,902.25 is: 14,508,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091,175.25 : 6,696,902.25 = 6,696,902.25 : x
  2. Step 2: Convert to fraction form
    3,091,175.25/6,696,902.25 = 6,696,902.25/x
  3. Step 3: Cross multiply
    3,091,175.25x = 6,696,902.25 × 6,696,902.25
  4. Step 4: Simplify right side
    3,091,175.25x = 44,848,499,746,055.06
  5. Step 5: Solve for x
    x = 44,848,499,746,055.06/3,091,175.25
  6. Step 6: Final answer
    x = 14,508,559.41

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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.