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Finding the Third Proportional to 57,702,924 and 121,844,376

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Solution

The third proportional to 57,702,924 and 121,844,376 is: 257,284,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,702,924 : 121,844,376 = 121,844,376 : x
  2. Step 2: Convert to fraction form
    57,702,924/121,844,376 = 121,844,376/x
  3. Step 3: Cross multiply
    57,702,924x = 121,844,376 × 121,844,376
  4. Step 4: Simplify right side
    57,702,924x = 14,846,051,962,829,376
  5. Step 5: Solve for x
    x = 14,846,051,962,829,376/57,702,924
  6. Step 6: Final answer
    x = 257,284,222.94

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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.