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Finding the Third Proportional to 6,765,867 and 10,492,485

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Solution

The third proportional to 6,765,867 and 10,492,485 is: 16,271,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765,867 : 10,492,485 = 10,492,485 : x
  2. Step 2: Convert to fraction form
    6,765,867/10,492,485 = 10,492,485/x
  3. Step 3: Cross multiply
    6,765,867x = 10,492,485 × 10,492,485
  4. Step 4: Simplify right side
    6,765,867x = 110,092,241,475,225
  5. Step 5: Solve for x
    x = 110,092,241,475,225/6,765,867
  6. Step 6: Final answer
    x = 16,271,712.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.