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Finding the Third Proportional to 3,645,954 and 7,857,138

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Solution

The third proportional to 3,645,954 and 7,857,138 is: 16,932,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645,954 : 7,857,138 = 7,857,138 : x
  2. Step 2: Convert to fraction form
    3,645,954/7,857,138 = 7,857,138/x
  3. Step 3: Cross multiply
    3,645,954x = 7,857,138 × 7,857,138
  4. Step 4: Simplify right side
    3,645,954x = 61,734,617,551,044
  5. Step 5: Solve for x
    x = 61,734,617,551,044/3,645,954
  6. Step 6: Final answer
    x = 16,932,363.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.