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Finding the Third Proportional to 2,013,528,625 and 4,084,470,522

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Solution

The third proportional to 2,013,528,625 and 4,084,470,522 is: 8,285,404,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013,528,625 : 4,084,470,522 = 4,084,470,522 : x
  2. Step 2: Convert to fraction form
    2,013,528,625/4,084,470,522 = 4,084,470,522/x
  3. Step 3: Cross multiply
    2,013,528,625x = 4,084,470,522 × 4,084,470,522
  4. Step 4: Simplify right side
    2,013,528,625x = 16,682,899,445,086,953,472
  5. Step 5: Solve for x
    x = 16,682,899,445,086,953,472/2,013,528,625
  6. Step 6: Final answer
    x = 8,285,404,656.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.