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Finding the Third Proportional to 2,498,523,714,930 and 5,440,609,022,970

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Solution

The third proportional to 2,498,523,714,930 and 5,440,609,022,970 is: 11,847,086,487,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498,523,714,930 : 5,440,609,022,970 = 5,440,609,022,970 : x
  2. Step 2: Convert to fraction form
    2,498,523,714,930/5,440,609,022,970 = 5,440,609,022,970/x
  3. Step 3: Cross multiply
    2,498,523,714,930x = 5,440,609,022,970 × 5,440,609,022,970
  4. Step 4: Simplify right side
    2,498,523,714,930x = 29,600,226,540,822,579,166,314,496
  5. Step 5: Solve for x
    x = 29,600,226,540,822,579,166,314,496/2,498,523,714,930
  6. Step 6: Final answer
    x = 11,847,086,487,090.59

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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.