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Finding the Third Proportional to 57,459,516 and 124,035,096

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Solution

The third proportional to 57,459,516 and 124,035,096 is: 267,748,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,459,516 : 124,035,096 = 124,035,096 : x
  2. Step 2: Convert to fraction form
    57,459,516/124,035,096 = 124,035,096/x
  3. Step 3: Cross multiply
    57,459,516x = 124,035,096 × 124,035,096
  4. Step 4: Simplify right side
    57,459,516x = 15,384,705,039,729,216
  5. Step 5: Solve for x
    x = 15,384,705,039,729,216/57,459,516
  6. Step 6: Final answer
    x = 267,748,601.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.