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Finding the Third Proportional to 2,649,514,760 and 5,780,278,574

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Solution

The third proportional to 2,649,514,760 and 5,780,278,574 is: 12,610,467,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,514,760 : 5,780,278,574 = 5,780,278,574 : x
  2. Step 2: Convert to fraction form
    2,649,514,760/5,780,278,574 = 5,780,278,574/x
  3. Step 3: Cross multiply
    2,649,514,760x = 5,780,278,574 × 5,780,278,574
  4. Step 4: Simplify right side
    2,649,514,760x = 33,411,620,393,043,472,384
  5. Step 5: Solve for x
    x = 33,411,620,393,043,472,384/2,649,514,760
  6. Step 6: Final answer
    x = 12,610,467,734.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.