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Finding the Third Proportional to 57,543,257 and 123,294,324

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Solution

The third proportional to 57,543,257 and 123,294,324 is: 264,175,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,543,257 : 123,294,324 = 123,294,324 : x
  2. Step 2: Convert to fraction form
    57,543,257/123,294,324 = 123,294,324/x
  3. Step 3: Cross multiply
    57,543,257x = 123,294,324 × 123,294,324
  4. Step 4: Simplify right side
    57,543,257x = 15,201,490,330,616,976
  5. Step 5: Solve for x
    x = 15,201,490,330,616,976/57,543,257
  6. Step 6: Final answer
    x = 264,175,007.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.