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Finding the Third Proportional to 7,722,560 and 11,683,485

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Solution

The third proportional to 7,722,560 and 11,683,485 is: 17,675,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722,560 : 11,683,485 = 11,683,485 : x
  2. Step 2: Convert to fraction form
    7,722,560/11,683,485 = 11,683,485/x
  3. Step 3: Cross multiply
    7,722,560x = 11,683,485 × 11,683,485
  4. Step 4: Simplify right side
    7,722,560x = 136,503,821,745,225
  5. Step 5: Solve for x
    x = 136,503,821,745,225/7,722,560
  6. Step 6: Final answer
    x = 17,675,980.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.