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Finding the Third Proportional to 7,697,933 and 10,762,163

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Solution

The third proportional to 7,697,933 and 10,762,163 is: 15,046,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697,933 : 10,762,163 = 10,762,163 : x
  2. Step 2: Convert to fraction form
    7,697,933/10,762,163 = 10,762,163/x
  3. Step 3: Cross multiply
    7,697,933x = 10,762,163 × 10,762,163
  4. Step 4: Simplify right side
    7,697,933x = 115,824,152,438,569
  5. Step 5: Solve for x
    x = 115,824,152,438,569/7,697,933
  6. Step 6: Final answer
    x = 15,046,136.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.