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Finding the Third Proportional to 856,527,957 and 1,876,267,350

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Solution

The third proportional to 856,527,957 and 1,876,267,350 is: 4,110,057,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,527,957 : 1,876,267,350 = 1,876,267,350 : x
  2. Step 2: Convert to fraction form
    856,527,957/1,876,267,350 = 1,876,267,350/x
  3. Step 3: Cross multiply
    856,527,957x = 1,876,267,350 × 1,876,267,350
  4. Step 4: Simplify right side
    856,527,957x = 3,520,379,168,676,022,272
  5. Step 5: Solve for x
    x = 3,520,379,168,676,022,272/856,527,957
  6. Step 6: Final answer
    x = 4,110,057,517.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.