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Finding the Third Proportional to 2,869,567,174,278 and 6,324,043,522,579.50

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Solution

The third proportional to 2,869,567,174,278 and 6,324,043,522,579.50 is: 13,937,128,509,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,567,174,278 : 6,324,043,522,579.50 = 6,324,043,522,579.50 : x
  2. Step 2: Convert to fraction form
    2,869,567,174,278/6,324,043,522,579.50 = 6,324,043,522,579.50/x
  3. Step 3: Cross multiply
    2,869,567,174,278x = 6,324,043,522,579.50 × 6,324,043,522,579.50
  4. Step 4: Simplify right side
    2,869,567,174,278x = 39,993,526,475,479,731,784,384,512
  5. Step 5: Solve for x
    x = 39,993,526,475,479,731,784,384,512/2,869,567,174,278
  6. Step 6: Final answer
    x = 13,937,128,509,822.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.