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Finding the Third Proportional to 959,246,175.94 and 2,087,403,716.81

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Solution

The third proportional to 959,246,175.94 and 2,087,403,716.81 is: 4,542,373,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,246,175.94 : 2,087,403,716.81 = 2,087,403,716.81 : x
  2. Step 2: Convert to fraction form
    959,246,175.94/2,087,403,716.81 = 2,087,403,716.81/x
  3. Step 3: Cross multiply
    959,246,175.94x = 2,087,403,716.81 × 2,087,403,716.81
  4. Step 4: Simplify right side
    959,246,175.94x = 4,357,254,276,962,639,872
  5. Step 5: Solve for x
    x = 4,357,254,276,962,639,872/959,246,175.94
  6. Step 6: Final answer
    x = 4,542,373,361.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.