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Finding the Third Proportional to 3,809,417 and 8,135,466

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Solution

The third proportional to 3,809,417 and 8,135,466 is: 17,374,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809,417 : 8,135,466 = 8,135,466 : x
  2. Step 2: Convert to fraction form
    3,809,417/8,135,466 = 8,135,466/x
  3. Step 3: Cross multiply
    3,809,417x = 8,135,466 × 8,135,466
  4. Step 4: Simplify right side
    3,809,417x = 66,185,807,037,156
  5. Step 5: Solve for x
    x = 66,185,807,037,156/3,809,417
  6. Step 6: Final answer
    x = 17,374,261.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.