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Finding the Third Proportional to 544,468,168 and 836,886,584

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Solution

The third proportional to 544,468,168 and 836,886,584 is: 1,286,354,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,468,168 : 836,886,584 = 836,886,584 : x
  2. Step 2: Convert to fraction form
    544,468,168/836,886,584 = 836,886,584/x
  3. Step 3: Cross multiply
    544,468,168x = 836,886,584 × 836,886,584
  4. Step 4: Simplify right side
    544,468,168x = 700,379,154,479,188,992
  5. Step 5: Solve for x
    x = 700,379,154,479,188,992/544,468,168
  6. Step 6: Final answer
    x = 1,286,354,640.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.