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Finding the Third Proportional to 858,285,774 and 1,853,781,714

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Solution

The third proportional to 858,285,774 and 1,853,781,714 is: 4,003,918,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,285,774 : 1,853,781,714 = 1,853,781,714 : x
  2. Step 2: Convert to fraction form
    858,285,774/1,853,781,714 = 1,853,781,714/x
  3. Step 3: Cross multiply
    858,285,774x = 1,853,781,714 × 1,853,781,714
  4. Step 4: Simplify right side
    858,285,774x = 3,436,506,643,160,777,728
  5. Step 5: Solve for x
    x = 3,436,506,643,160,777,728/858,285,774
  6. Step 6: Final answer
    x = 4,003,918,912.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.