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Finding the Third Proportional to 3,839,768 and 8,249,364

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Solution

The third proportional to 3,839,768 and 8,249,364 is: 17,722,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839,768 : 8,249,364 = 8,249,364 : x
  2. Step 2: Convert to fraction form
    3,839,768/8,249,364 = 8,249,364/x
  3. Step 3: Cross multiply
    3,839,768x = 8,249,364 × 8,249,364
  4. Step 4: Simplify right side
    3,839,768x = 68,052,006,404,496
  5. Step 5: Solve for x
    x = 68,052,006,404,496/3,839,768
  6. Step 6: Final answer
    x = 17,722,947.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.