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Finding the Third Proportional to 2,422,970,514 and 5,270,470,560

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Solution

The third proportional to 2,422,970,514 and 5,270,470,560 is: 11,464,382,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,970,514 : 5,270,470,560 = 5,270,470,560 : x
  2. Step 2: Convert to fraction form
    2,422,970,514/5,270,470,560 = 5,270,470,560/x
  3. Step 3: Cross multiply
    2,422,970,514x = 5,270,470,560 × 5,270,470,560
  4. Step 4: Simplify right side
    2,422,970,514x = 27,777,859,923,826,712,576
  5. Step 5: Solve for x
    x = 27,777,859,923,826,712,576/2,422,970,514
  6. Step 6: Final answer
    x = 11,464,382,155.43

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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.