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Finding the Third Proportional to 2,765,295,900 and 4,042,959,264

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Solution

The third proportional to 2,765,295,900 and 4,042,959,264 is: 5,910,947,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,295,900 : 4,042,959,264 = 4,042,959,264 : x
  2. Step 2: Convert to fraction form
    2,765,295,900/4,042,959,264 = 4,042,959,264/x
  3. Step 3: Cross multiply
    2,765,295,900x = 4,042,959,264 × 4,042,959,264
  4. Step 4: Simplify right side
    2,765,295,900x = 16,345,519,610,363,420,672
  5. Step 5: Solve for x
    x = 16,345,519,610,363,420,672/2,765,295,900
  6. Step 6: Final answer
    x = 5,910,947,761.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.