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Finding the Third Proportional to 2,052,003,531 and 4,305,560,982

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Solution

The third proportional to 2,052,003,531 and 4,305,560,982 is: 9,034,027,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,003,531 : 4,305,560,982 = 4,305,560,982 : x
  2. Step 2: Convert to fraction form
    2,052,003,531/4,305,560,982 = 4,305,560,982/x
  3. Step 3: Cross multiply
    2,052,003,531x = 4,305,560,982 × 4,305,560,982
  4. Step 4: Simplify right side
    2,052,003,531x = 18,537,855,369,720,803,328
  5. Step 5: Solve for x
    x = 18,537,855,369,720,803,328/2,052,003,531
  6. Step 6: Final answer
    x = 9,034,027,032.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.