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Finding the Third Proportional to 6,200,781 and 9,307,353

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Solution

The third proportional to 6,200,781 and 9,307,353 is: 13,970,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200,781 : 9,307,353 = 9,307,353 : x
  2. Step 2: Convert to fraction form
    6,200,781/9,307,353 = 9,307,353/x
  3. Step 3: Cross multiply
    6,200,781x = 9,307,353 × 9,307,353
  4. Step 4: Simplify right side
    6,200,781x = 86,626,819,866,609
  5. Step 5: Solve for x
    x = 86,626,819,866,609/6,200,781
  6. Step 6: Final answer
    x = 13,970,307.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.