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Finding the Third Proportional to 3,161,116 and 6,816,248

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Solution

The third proportional to 3,161,116 and 6,816,248 is: 14,697,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161,116 : 6,816,248 = 6,816,248 : x
  2. Step 2: Convert to fraction form
    3,161,116/6,816,248 = 6,816,248/x
  3. Step 3: Cross multiply
    3,161,116x = 6,816,248 × 6,816,248
  4. Step 4: Simplify right side
    3,161,116x = 46,461,236,797,504
  5. Step 5: Solve for x
    x = 46,461,236,797,504/3,161,116
  6. Step 6: Final answer
    x = 14,697,732.32

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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.