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Finding the Third Proportional to 886,248,976 and 2,051,505,912

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Solution

The third proportional to 886,248,976 and 2,051,505,912 is: 4,748,864,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,248,976 : 2,051,505,912 = 2,051,505,912 : x
  2. Step 2: Convert to fraction form
    886,248,976/2,051,505,912 = 2,051,505,912/x
  3. Step 3: Cross multiply
    886,248,976x = 2,051,505,912 × 2,051,505,912
  4. Step 4: Simplify right side
    886,248,976x = 4,208,676,506,970,951,680
  5. Step 5: Solve for x
    x = 4,208,676,506,970,951,680/886,248,976
  6. Step 6: Final answer
    x = 4,748,864,733.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.