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Finding the Third Proportional to 25,642,446,136 and 55,699,095,022

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Solution

The third proportional to 25,642,446,136 and 55,699,095,022 is: 120,986,475,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642,446,136 : 55,699,095,022 = 55,699,095,022 : x
  2. Step 2: Convert to fraction form
    25,642,446,136/55,699,095,022 = 55,699,095,022/x
  3. Step 3: Cross multiply
    25,642,446,136x = 55,699,095,022 × 55,699,095,022
  4. Step 4: Simplify right side
    25,642,446,136x = 3,102,389,186,269,785,096,192
  5. Step 5: Solve for x
    x = 3,102,389,186,269,785,096,192/25,642,446,136
  6. Step 6: Final answer
    x = 120,986,475,697.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.