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Finding the Third Proportional to 12,470,589,854 and 27,136,505,878

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Solution

The third proportional to 12,470,589,854 and 27,136,505,878 is: 59,050,129,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470,589,854 : 27,136,505,878 = 27,136,505,878 : x
  2. Step 2: Convert to fraction form
    12,470,589,854/27,136,505,878 = 27,136,505,878/x
  3. Step 3: Cross multiply
    12,470,589,854x = 27,136,505,878 × 27,136,505,878
  4. Step 4: Simplify right side
    12,470,589,854x = 736,389,951,266,728,574,976
  5. Step 5: Solve for x
    x = 736,389,951,266,728,574,976/12,470,589,854
  6. Step 6: Final answer
    x = 59,050,129,936.76

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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.