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Finding the Third Proportional to 2,813,710.50 and 5,726,862

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Solution

The third proportional to 2,813,710.50 and 5,726,862 is: 11,656,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813,710.50 : 5,726,862 = 5,726,862 : x
  2. Step 2: Convert to fraction form
    2,813,710.50/5,726,862 = 5,726,862/x
  3. Step 3: Cross multiply
    2,813,710.50x = 5,726,862 × 5,726,862
  4. Step 4: Simplify right side
    2,813,710.50x = 32,796,948,367,044
  5. Step 5: Solve for x
    x = 32,796,948,367,044/2,813,710.50
  6. Step 6: Final answer
    x = 11,656,120.40

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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.