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Finding the Third Proportional to 57,037,314 and 123,166,968

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Solution

The third proportional to 57,037,314 and 123,166,968 is: 265,968,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,037,314 : 123,166,968 = 123,166,968 : x
  2. Step 2: Convert to fraction form
    57,037,314/123,166,968 = 123,166,968/x
  3. Step 3: Cross multiply
    57,037,314x = 123,166,968 × 123,166,968
  4. Step 4: Simplify right side
    57,037,314x = 15,170,102,006,313,024
  5. Step 5: Solve for x
    x = 15,170,102,006,313,024/57,037,314
  6. Step 6: Final answer
    x = 265,968,029.39

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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.