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Finding the Third Proportional to 122,760,846 and 265,954,374

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Solution

The third proportional to 122,760,846 and 265,954,374 is: 576,174,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,760,846 : 265,954,374 = 265,954,374 : x
  2. Step 2: Convert to fraction form
    122,760,846/265,954,374 = 265,954,374/x
  3. Step 3: Cross multiply
    122,760,846x = 265,954,374 × 265,954,374
  4. Step 4: Simplify right side
    122,760,846x = 70,731,729,049,731,872
  5. Step 5: Solve for x
    x = 70,731,729,049,731,872/122,760,846
  6. Step 6: Final answer
    x = 576,174,988.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.