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Finding the Third Proportional to 3,466,575 and 7,729,767

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Solution

The third proportional to 3,466,575 and 7,729,767 is: 17,235,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,575 : 7,729,767 = 7,729,767 : x
  2. Step 2: Convert to fraction form
    3,466,575/7,729,767 = 7,729,767/x
  3. Step 3: Cross multiply
    3,466,575x = 7,729,767 × 7,729,767
  4. Step 4: Simplify right side
    3,466,575x = 59,749,297,874,289
  5. Step 5: Solve for x
    x = 59,749,297,874,289/3,466,575
  6. Step 6: Final answer
    x = 17,235,830.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.