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Finding the Third Proportional to 2,014,279,920 and 4,334,669,946

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Solution

The third proportional to 2,014,279,920 and 4,334,669,946 is: 9,328,079,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,279,920 : 4,334,669,946 = 4,334,669,946 : x
  2. Step 2: Convert to fraction form
    2,014,279,920/4,334,669,946 = 4,334,669,946/x
  3. Step 3: Cross multiply
    2,014,279,920x = 4,334,669,946 × 4,334,669,946
  4. Step 4: Simplify right side
    2,014,279,920x = 18,789,363,540,755,644,416
  5. Step 5: Solve for x
    x = 18,789,363,540,755,644,416/2,014,279,920
  6. Step 6: Final answer
    x = 9,328,079,654.77

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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.