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Finding the Third Proportional to 112,671,961 and 237,448,966

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Solution

The third proportional to 112,671,961 and 237,448,966 is: 500,408,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,671,961 : 237,448,966 = 237,448,966 : x
  2. Step 2: Convert to fraction form
    112,671,961/237,448,966 = 237,448,966/x
  3. Step 3: Cross multiply
    112,671,961x = 237,448,966 × 237,448,966
  4. Step 4: Simplify right side
    112,671,961x = 56,382,011,454,469,152
  5. Step 5: Solve for x
    x = 56,382,011,454,469,152/112,671,961
  6. Step 6: Final answer
    x = 500,408,539.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.