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Finding the Third Proportional to 2,649,514,762 and 5,780,278,578

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Solution

The third proportional to 2,649,514,762 and 5,780,278,578 is: 12,610,467,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,514,762 : 5,780,278,578 = 5,780,278,578 : x
  2. Step 2: Convert to fraction form
    2,649,514,762/5,780,278,578 = 5,780,278,578/x
  3. Step 3: Cross multiply
    2,649,514,762x = 5,780,278,578 × 5,780,278,578
  4. Step 4: Simplify right side
    2,649,514,762x = 33,411,620,439,285,702,656
  5. Step 5: Solve for x
    x = 33,411,620,439,285,702,656/2,649,514,762
  6. Step 6: Final answer
    x = 12,610,467,742.43

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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.