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Finding the Third Proportional to 11,048,304,201 and 23,672,508,114

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Solution

The third proportional to 11,048,304,201 and 23,672,508,114 is: 50,721,597,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048,304,201 : 23,672,508,114 = 23,672,508,114 : x
  2. Step 2: Convert to fraction form
    11,048,304,201/23,672,508,114 = 23,672,508,114/x
  3. Step 3: Cross multiply
    11,048,304,201x = 23,672,508,114 × 23,672,508,114
  4. Step 4: Simplify right side
    11,048,304,201x = 560,387,640,407,395,860,480
  5. Step 5: Solve for x
    x = 560,387,640,407,395,860,480/11,048,304,201
  6. Step 6: Final answer
    x = 50,721,597,650.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.