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Finding the Third Proportional to 3,335,022 and 6,827,292

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Solution

The third proportional to 3,335,022 and 6,827,292 is: 13,976,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335,022 : 6,827,292 = 6,827,292 : x
  2. Step 2: Convert to fraction form
    3,335,022/6,827,292 = 6,827,292/x
  3. Step 3: Cross multiply
    3,335,022x = 6,827,292 × 6,827,292
  4. Step 4: Simplify right side
    3,335,022x = 46,611,916,053,264
  5. Step 5: Solve for x
    x = 46,611,916,053,264/3,335,022
  6. Step 6: Final answer
    x = 13,976,494.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.