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Finding the Third Proportional to 3,647,020 and 7,936,209

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Solution

The third proportional to 3,647,020 and 7,936,209 is: 17,269,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,020 : 7,936,209 = 7,936,209 : x
  2. Step 2: Convert to fraction form
    3,647,020/7,936,209 = 7,936,209/x
  3. Step 3: Cross multiply
    3,647,020x = 7,936,209 × 7,936,209
  4. Step 4: Simplify right side
    3,647,020x = 62,983,413,291,681
  5. Step 5: Solve for x
    x = 62,983,413,291,681/3,647,020
  6. Step 6: Final answer
    x = 17,269,829.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.