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Finding the Third Proportional to 2,746,097.44 and 5,743,153.13

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Solution

The third proportional to 2,746,097.44 and 5,743,153.13 is: 12,011,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,097.44 : 5,743,153.13 = 5,743,153.13 : x
  2. Step 2: Convert to fraction form
    2,746,097.44/5,743,153.13 = 5,743,153.13/x
  3. Step 3: Cross multiply
    2,746,097.44x = 5,743,153.13 × 5,743,153.13
  4. Step 4: Simplify right side
    2,746,097.44x = 32,983,807,817,197.27
  5. Step 5: Solve for x
    x = 32,983,807,817,197.27/2,746,097.44
  6. Step 6: Final answer
    x = 12,011,157.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.