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Finding the Third Proportional to 26,312,575,831 and 56,818,919,910

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Solution

The third proportional to 26,312,575,831 and 56,818,919,910 is: 122,693,790,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,312,575,831 : 56,818,919,910 = 56,818,919,910 : x
  2. Step 2: Convert to fraction form
    26,312,575,831/56,818,919,910 = 56,818,919,910/x
  3. Step 3: Cross multiply
    26,312,575,831x = 56,818,919,910 × 56,818,919,910
  4. Step 4: Simplify right side
    26,312,575,831x = 3,228,389,659,738,994,376,704
  5. Step 5: Solve for x
    x = 3,228,389,659,738,994,376,704/26,312,575,831
  6. Step 6: Final answer
    x = 122,693,790,242.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.