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Finding the Third Proportional to 2,129,253,889 and 4,633,443,009

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Solution

The third proportional to 2,129,253,889 and 4,633,443,009 is: 10,082,777,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,253,889 : 4,633,443,009 = 4,633,443,009 : x
  2. Step 2: Convert to fraction form
    2,129,253,889/4,633,443,009 = 4,633,443,009/x
  3. Step 3: Cross multiply
    2,129,253,889x = 4,633,443,009 × 4,633,443,009
  4. Step 4: Simplify right side
    2,129,253,889x = 21,468,794,117,650,972,672
  5. Step 5: Solve for x
    x = 21,468,794,117,650,972,672/2,129,253,889
  6. Step 6: Final answer
    x = 10,082,777,929.19

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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.