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Finding the Third Proportional to 379,901,913 and 567,616,518

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Solution

The third proportional to 379,901,913 and 567,616,518 is: 848,083,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,901,913 : 567,616,518 = 567,616,518 : x
  2. Step 2: Convert to fraction form
    379,901,913/567,616,518 = 567,616,518/x
  3. Step 3: Cross multiply
    379,901,913x = 567,616,518 × 567,616,518
  4. Step 4: Simplify right side
    379,901,913x = 322,188,511,506,444,352
  5. Step 5: Solve for x
    x = 322,188,511,506,444,352/379,901,913
  6. Step 6: Final answer
    x = 848,083,414.38

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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.