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Finding the Third Proportional to 559,165,576 and 833,899,336

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Solution

The third proportional to 559,165,576 and 833,899,336 is: 1,243,617,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,165,576 : 833,899,336 = 833,899,336 : x
  2. Step 2: Convert to fraction form
    559,165,576/833,899,336 = 833,899,336/x
  3. Step 3: Cross multiply
    559,165,576x = 833,899,336 × 833,899,336
  4. Step 4: Simplify right side
    559,165,576x = 695,388,102,581,240,832
  5. Step 5: Solve for x
    x = 695,388,102,581,240,832/559,165,576
  6. Step 6: Final answer
    x = 1,243,617,512.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.