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Finding the Third Proportional to 5,200,962.75 and 6,902,951.63

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Solution

The third proportional to 5,200,962.75 and 6,902,951.63 is: 9,161,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,962.75 : 6,902,951.63 = 6,902,951.63 : x
  2. Step 2: Convert to fraction form
    5,200,962.75/6,902,951.63 = 6,902,951.63/x
  3. Step 3: Cross multiply
    5,200,962.75x = 6,902,951.63 × 6,902,951.63
  4. Step 4: Simplify right side
    5,200,962.75x = 47,650,741,137,090.14
  5. Step 5: Solve for x
    x = 47,650,741,137,090.14/5,200,962.75
  6. Step 6: Final answer
    x = 9,161,907.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.