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Finding the Third Proportional to 658,274,940 and 965,589,811.88

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Solution

The third proportional to 658,274,940 and 965,589,811.88 is: 1,416,374,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,274,940 : 965,589,811.88 = 965,589,811.88 : x
  2. Step 2: Convert to fraction form
    658,274,940/965,589,811.88 = 965,589,811.88/x
  3. Step 3: Cross multiply
    658,274,940x = 965,589,811.88 × 965,589,811.88
  4. Step 4: Simplify right side
    658,274,940x = 932,363,684,796,797,952
  5. Step 5: Solve for x
    x = 932,363,684,796,797,952/658,274,940
  6. Step 6: Final answer
    x = 1,416,374,265.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.