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Finding the Third Proportional to 57,700,378 and 121,839,284

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Solution

The third proportional to 57,700,378 and 121,839,284 is: 257,274,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,700,378 : 121,839,284 = 121,839,284 : x
  2. Step 2: Convert to fraction form
    57,700,378/121,839,284 = 121,839,284/x
  3. Step 3: Cross multiply
    57,700,378x = 121,839,284 × 121,839,284
  4. Step 4: Simplify right side
    57,700,378x = 14,844,811,125,632,656
  5. Step 5: Solve for x
    x = 14,844,811,125,632,656/57,700,378
  6. Step 6: Final answer
    x = 257,274,070.64

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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.