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Finding the Third Proportional to 20,243,110,818,240 and 30,838,287,768,600

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Solution

The third proportional to 20,243,110,818,240 and 30,838,287,768,600 is: 46,978,945,135,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,243,110,818,240 : 30,838,287,768,600 = 30,838,287,768,600 : x
  2. Step 2: Convert to fraction form
    20,243,110,818,240/30,838,287,768,600 = 30,838,287,768,600/x
  3. Step 3: Cross multiply
    20,243,110,818,240x = 30,838,287,768,600 × 30,838,287,768,600
  4. Step 4: Simplify right side
    20,243,110,818,240x = 950,999,992,498,984,336,073,162,752
  5. Step 5: Solve for x
    x = 950,999,992,498,984,336,073,162,752/20,243,110,818,240
  6. Step 6: Final answer
    x = 46,978,945,135,353.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.