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Finding the Third Proportional to 52,457,628,036 and 80,581,333,122

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Solution

The third proportional to 52,457,628,036 and 80,581,333,122 is: 123,782,784,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,457,628,036 : 80,581,333,122 = 80,581,333,122 : x
  2. Step 2: Convert to fraction form
    52,457,628,036/80,581,333,122 = 80,581,333,122/x
  3. Step 3: Cross multiply
    52,457,628,036x = 80,581,333,122 × 80,581,333,122
  4. Step 4: Simplify right side
    52,457,628,036x = 6,493,351,247,718,733,840,384
  5. Step 5: Solve for x
    x = 6,493,351,247,718,733,840,384/52,457,628,036
  6. Step 6: Final answer
    x = 123,782,784,140.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.