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Finding the Third Proportional to 6,467,474 and 10,778,473

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Solution

The third proportional to 6,467,474 and 10,778,473 is: 17,963,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,474 : 10,778,473 = 10,778,473 : x
  2. Step 2: Convert to fraction form
    6,467,474/10,778,473 = 10,778,473/x
  3. Step 3: Cross multiply
    6,467,474x = 10,778,473 × 10,778,473
  4. Step 4: Simplify right side
    6,467,474x = 116,175,480,211,729
  5. Step 5: Solve for x
    x = 116,175,480,211,729/6,467,474
  6. Step 6: Final answer
    x = 17,963,037.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.