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Finding the Third Proportional to 34,544,999,978 and 53,074,574,486

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Solution

The third proportional to 34,544,999,978 and 53,074,574,486 is: 81,543,217,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,544,999,978 : 53,074,574,486 = 53,074,574,486 : x
  2. Step 2: Convert to fraction form
    34,544,999,978/53,074,574,486 = 53,074,574,486/x
  3. Step 3: Cross multiply
    34,544,999,978x = 53,074,574,486 × 53,074,574,486
  4. Step 4: Simplify right side
    34,544,999,978x = 2,816,910,456,869,962,121,216
  5. Step 5: Solve for x
    x = 2,816,910,456,869,962,121,216/34,544,999,978
  6. Step 6: Final answer
    x = 81,543,217,793.14

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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.