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Finding the Third Proportional to 1,199,120,496 and 2,673,957,646

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Solution

The third proportional to 1,199,120,496 and 2,673,957,646 is: 5,962,744,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,120,496 : 2,673,957,646 = 2,673,957,646 : x
  2. Step 2: Convert to fraction form
    1,199,120,496/2,673,957,646 = 2,673,957,646/x
  3. Step 3: Cross multiply
    1,199,120,496x = 2,673,957,646 × 2,673,957,646
  4. Step 4: Simplify right side
    1,199,120,496x = 7,150,049,492,601,861,120
  5. Step 5: Solve for x
    x = 7,150,049,492,601,861,120/1,199,120,496
  6. Step 6: Final answer
    x = 5,962,744,792.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.