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Finding the Third Proportional to 858,285,778 and 1,853,781,722

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Solution

The third proportional to 858,285,778 and 1,853,781,722 is: 4,003,918,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,285,778 : 1,853,781,722 = 1,853,781,722 : x
  2. Step 2: Convert to fraction form
    858,285,778/1,853,781,722 = 1,853,781,722/x
  3. Step 3: Cross multiply
    858,285,778x = 1,853,781,722 × 1,853,781,722
  4. Step 4: Simplify right side
    858,285,778x = 3,436,506,672,821,285,376
  5. Step 5: Solve for x
    x = 3,436,506,672,821,285,376/858,285,778
  6. Step 6: Final answer
    x = 4,003,918,928.76

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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.