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Finding the Third Proportional to 3,846,053 and 8,206,878

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Solution

The third proportional to 3,846,053 and 8,206,878 is: 17,512,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,053 : 8,206,878 = 8,206,878 : x
  2. Step 2: Convert to fraction form
    3,846,053/8,206,878 = 8,206,878/x
  3. Step 3: Cross multiply
    3,846,053x = 8,206,878 × 8,206,878
  4. Step 4: Simplify right side
    3,846,053x = 67,352,846,506,884
  5. Step 5: Solve for x
    x = 67,352,846,506,884/3,846,053
  6. Step 6: Final answer
    x = 17,512,199.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.