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Finding the Third Proportional to 61,544,109,078 and 91,953,874,674

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Solution

The third proportional to 61,544,109,078 and 91,953,874,674 is: 137,389,511,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,544,109,078 : 91,953,874,674 = 91,953,874,674 : x
  2. Step 2: Convert to fraction form
    61,544,109,078/91,953,874,674 = 91,953,874,674/x
  3. Step 3: Cross multiply
    61,544,109,078x = 91,953,874,674 × 91,953,874,674
  4. Step 4: Simplify right side
    61,544,109,078x = 8,455,515,067,561,698,918,400
  5. Step 5: Solve for x
    x = 8,455,515,067,561,698,918,400/61,544,109,078
  6. Step 6: Final answer
    x = 137,389,511,266.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.