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Finding the Third Proportional to 980,420,600 and 2,115,777,514

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Solution

The third proportional to 980,420,600 and 2,115,777,514 is: 4,565,912,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,420,600 : 2,115,777,514 = 2,115,777,514 : x
  2. Step 2: Convert to fraction form
    980,420,600/2,115,777,514 = 2,115,777,514/x
  3. Step 3: Cross multiply
    980,420,600x = 2,115,777,514 × 2,115,777,514
  4. Step 4: Simplify right side
    980,420,600x = 4,476,514,488,748,020,224
  5. Step 5: Solve for x
    x = 4,476,514,488,748,020,224/980,420,600
  6. Step 6: Final answer
    x = 4,565,912,312.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.