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Finding the Third Proportional to 2,129,253,930 and 4,633,443,089

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Solution

The third proportional to 2,129,253,930 and 4,633,443,089 is: 10,082,778,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,253,930 : 4,633,443,089 = 4,633,443,089 : x
  2. Step 2: Convert to fraction form
    2,129,253,930/4,633,443,089 = 4,633,443,089/x
  3. Step 3: Cross multiply
    2,129,253,930x = 4,633,443,089 × 4,633,443,089
  4. Step 4: Simplify right side
    2,129,253,930x = 21,468,794,859,001,860,096
  5. Step 5: Solve for x
    x = 21,468,794,859,001,860,096/2,129,253,930
  6. Step 6: Final answer
    x = 10,082,778,083.21

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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.