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Finding the Third Proportional to 75,882,630 and 163,274,254

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Solution

The third proportional to 75,882,630 and 163,274,254 is: 351,312,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,882,630 : 163,274,254 = 163,274,254 : x
  2. Step 2: Convert to fraction form
    75,882,630/163,274,254 = 163,274,254/x
  3. Step 3: Cross multiply
    75,882,630x = 163,274,254 × 163,274,254
  4. Step 4: Simplify right side
    75,882,630x = 26,658,482,019,256,516
  5. Step 5: Solve for x
    x = 26,658,482,019,256,516/75,882,630
  6. Step 6: Final answer
    x = 351,312,046.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.