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Finding the Third Proportional to 57,702,932 and 121,844,392

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Solution

The third proportional to 57,702,932 and 121,844,392 is: 257,284,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,702,932 : 121,844,392 = 121,844,392 : x
  2. Step 2: Convert to fraction form
    57,702,932/121,844,392 = 121,844,392/x
  3. Step 3: Cross multiply
    57,702,932x = 121,844,392 × 121,844,392
  4. Step 4: Simplify right side
    57,702,932x = 14,846,055,861,849,664
  5. Step 5: Solve for x
    x = 14,846,055,861,849,664/57,702,932
  6. Step 6: Final answer
    x = 257,284,254.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.