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Finding the Third Proportional to 265,101,794 and 557,676,136

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Solution

The third proportional to 265,101,794 and 557,676,136 is: 1,173,144,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,101,794 : 557,676,136 = 557,676,136 : x
  2. Step 2: Convert to fraction form
    265,101,794/557,676,136 = 557,676,136/x
  3. Step 3: Cross multiply
    265,101,794x = 557,676,136 × 557,676,136
  4. Step 4: Simplify right side
    265,101,794x = 311,002,672,663,890,496
  5. Step 5: Solve for x
    x = 311,002,672,663,890,496/265,101,794
  6. Step 6: Final answer
    x = 1,173,144,353.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.