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Finding the Third Proportional to 20,917,081,378 and 44,818,259,101

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Solution

The third proportional to 20,917,081,378 and 44,818,259,101 is: 96,030,431,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,917,081,378 : 44,818,259,101 = 44,818,259,101 : x
  2. Step 2: Convert to fraction form
    20,917,081,378/44,818,259,101 = 44,818,259,101/x
  3. Step 3: Cross multiply
    20,917,081,378x = 44,818,259,101 × 44,818,259,101
  4. Step 4: Simplify right side
    20,917,081,378x = 2,008,676,348,844,369,248,256
  5. Step 5: Solve for x
    x = 2,008,676,348,844,369,248,256/20,917,081,378
  6. Step 6: Final answer
    x = 96,030,431,423.24

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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.