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Finding the Third Proportional to 20,346,229,728 and 27,480,919,005

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Solution

The third proportional to 20,346,229,728 and 27,480,919,005 is: 37,117,486,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,346,229,728 : 27,480,919,005 = 27,480,919,005 : x
  2. Step 2: Convert to fraction form
    20,346,229,728/27,480,919,005 = 27,480,919,005/x
  3. Step 3: Cross multiply
    20,346,229,728x = 27,480,919,005 × 27,480,919,005
  4. Step 4: Simplify right side
    20,346,229,728x = 755,200,909,359,370,207,232
  5. Step 5: Solve for x
    x = 755,200,909,359,370,207,232/20,346,229,728
  6. Step 6: Final answer
    x = 37,117,486,603.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.