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Finding the Third Proportional to 338,347,536 and 538,377,444

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Solution

The third proportional to 338,347,536 and 538,377,444 is: 856,664,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,347,536 : 538,377,444 = 538,377,444 : x
  2. Step 2: Convert to fraction form
    338,347,536/538,377,444 = 538,377,444/x
  3. Step 3: Cross multiply
    338,347,536x = 538,377,444 × 538,377,444
  4. Step 4: Simplify right side
    338,347,536x = 289,850,272,207,973,120
  5. Step 5: Solve for x
    x = 289,850,272,207,973,120/338,347,536
  6. Step 6: Final answer
    x = 856,664,350.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.