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Finding the Third Proportional to 3,017,012.06 and 6,548,318.44

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Solution

The third proportional to 3,017,012.06 and 6,548,318.44 is: 14,212,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017,012.06 : 6,548,318.44 = 6,548,318.44 : x
  2. Step 2: Convert to fraction form
    3,017,012.06/6,548,318.44 = 6,548,318.44/x
  3. Step 3: Cross multiply
    3,017,012.06x = 6,548,318.44 × 6,548,318.44
  4. Step 4: Simplify right side
    3,017,012.06x = 42,880,474,358,902.44
  5. Step 5: Solve for x
    x = 42,880,474,358,902.44/3,017,012.06
  6. Step 6: Final answer
    x = 14,212,894.57

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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.