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Finding the Third Proportional to 2,813,700 and 5,726,838

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Solution

The third proportional to 2,813,700 and 5,726,838 is: 11,656,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813,700 : 5,726,838 = 5,726,838 : x
  2. Step 2: Convert to fraction form
    2,813,700/5,726,838 = 5,726,838/x
  3. Step 3: Cross multiply
    2,813,700x = 5,726,838 × 5,726,838
  4. Step 4: Simplify right side
    2,813,700x = 32,796,673,478,244
  5. Step 5: Solve for x
    x = 32,796,673,478,244/2,813,700
  6. Step 6: Final answer
    x = 11,656,066.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.