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Finding the Third Proportional to 24,531,580,462,980 and 52,980,017,568,504

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Solution

The third proportional to 24,531,580,462,980 and 52,980,017,568,504 is: 114,419,136,826,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,531,580,462,980 : 52,980,017,568,504 = 52,980,017,568,504 : x
  2. Step 2: Convert to fraction form
    24,531,580,462,980/52,980,017,568,504 = 52,980,017,568,504/x
  3. Step 3: Cross multiply
    24,531,580,462,980x = 52,980,017,568,504 × 52,980,017,568,504
  4. Step 4: Simplify right side
    24,531,580,462,980x = 2,806,882,261,558,992,238,194,720,768
  5. Step 5: Solve for x
    x = 2,806,882,261,558,992,238,194,720,768/24,531,580,462,980
  6. Step 6: Final answer
    x = 114,419,136,826,295.75

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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.