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Finding the Third Proportional to 2,459,405,659,847.60 and 5,410,683,849,442.40

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Solution

The third proportional to 2,459,405,659,847.60 and 5,410,683,849,442.40 is: 11,903,485,543,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459,405,659,847.60 : 5,410,683,849,442.40 = 5,410,683,849,442.40 : x
  2. Step 2: Convert to fraction form
    2,459,405,659,847.60/5,410,683,849,442.40 = 5,410,683,849,442.40/x
  3. Step 3: Cross multiply
    2,459,405,659,847.60x = 5,410,683,849,442.40 × 5,410,683,849,442.40
  4. Step 4: Simplify right side
    2,459,405,659,847.60x = 29,275,499,718,616,831,131,385,856
  5. Step 5: Solve for x
    x = 29,275,499,718,616,831,131,385,856/2,459,405,659,847.60
  6. Step 6: Final answer
    x = 11,903,485,543,914.27

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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.