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Finding the Third Proportional to 26,633,964,873 and 57,956,580,459

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Solution

The third proportional to 26,633,964,873 and 57,956,580,459 is: 126,115,853,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,633,964,873 : 57,956,580,459 = 57,956,580,459 : x
  2. Step 2: Convert to fraction form
    26,633,964,873/57,956,580,459 = 57,956,580,459/x
  3. Step 3: Cross multiply
    26,633,964,873x = 57,956,580,459 × 57,956,580,459
  4. Step 4: Simplify right side
    26,633,964,873x = 3,358,965,218,500,540,891,136
  5. Step 5: Solve for x
    x = 3,358,965,218,500,540,891,136/26,633,964,873
  6. Step 6: Final answer
    x = 126,115,853,742.29

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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.