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Finding the Third Proportional to 2,387,674,589 and 5,138,146,234

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Solution

The third proportional to 2,387,674,589 and 5,138,146,234 is: 11,057,012,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387,674,589 : 5,138,146,234 = 5,138,146,234 : x
  2. Step 2: Convert to fraction form
    2,387,674,589/5,138,146,234 = 5,138,146,234/x
  3. Step 3: Cross multiply
    2,387,674,589x = 5,138,146,234 × 5,138,146,234
  4. Step 4: Simplify right side
    2,387,674,589x = 26,400,546,721,968,381,952
  5. Step 5: Solve for x
    x = 26,400,546,721,968,381,952/2,387,674,589
  6. Step 6: Final answer
    x = 11,057,012,058.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.