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Finding the Third Proportional to 1,109,635,098 and 1,632,277,031

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Solution

The third proportional to 1,109,635,098 and 1,632,277,031 is: 2,401,085,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,635,098 : 1,632,277,031 = 1,632,277,031 : x
  2. Step 2: Convert to fraction form
    1,109,635,098/1,632,277,031 = 1,632,277,031/x
  3. Step 3: Cross multiply
    1,109,635,098x = 1,632,277,031 × 1,632,277,031
  4. Step 4: Simplify right side
    1,109,635,098x = 2,664,328,305,930,174,976
  5. Step 5: Solve for x
    x = 2,664,328,305,930,174,976/1,109,635,098
  6. Step 6: Final answer
    x = 2,401,085,105.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.