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Finding the Third Proportional to 3,224,881,183,778.50 and 7,074,115,976,260.50

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Solution

The third proportional to 3,224,881,183,778.50 and 7,074,115,976,260.50 is: 15,517,817,244,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224,881,183,778.50 : 7,074,115,976,260.50 = 7,074,115,976,260.50 : x
  2. Step 2: Convert to fraction form
    3,224,881,183,778.50/7,074,115,976,260.50 = 7,074,115,976,260.50/x
  3. Step 3: Cross multiply
    3,224,881,183,778.50x = 7,074,115,976,260.50 × 7,074,115,976,260.50
  4. Step 4: Simplify right side
    3,224,881,183,778.50x = 50,043,116,845,584,048,654,909,440
  5. Step 5: Solve for x
    x = 50,043,116,845,584,048,654,909,440/3,224,881,183,778.50
  6. Step 6: Final answer
    x = 15,517,817,244,649.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.