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Finding the Third Proportional to 26,312,575,817 and 56,818,919,884

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Solution

The third proportional to 26,312,575,817 and 56,818,919,884 is: 122,693,790,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,312,575,817 : 56,818,919,884 = 56,818,919,884 : x
  2. Step 2: Convert to fraction form
    26,312,575,817/56,818,919,884 = 56,818,919,884/x
  3. Step 3: Cross multiply
    26,312,575,817x = 56,818,919,884 × 56,818,919,884
  4. Step 4: Simplify right side
    26,312,575,817x = 3,228,389,656,784,410,771,456
  5. Step 5: Solve for x
    x = 3,228,389,656,784,410,771,456/26,312,575,817
  6. Step 6: Final answer
    x = 122,693,790,195.13

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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.