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Finding the Third Proportional to 2,052,003,564 and 4,305,561,048

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Solution

The third proportional to 2,052,003,564 and 4,305,561,048 is: 9,034,027,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,003,564 : 4,305,561,048 = 4,305,561,048 : x
  2. Step 2: Convert to fraction form
    2,052,003,564/4,305,561,048 = 4,305,561,048/x
  3. Step 3: Cross multiply
    2,052,003,564x = 4,305,561,048 × 4,305,561,048
  4. Step 4: Simplify right side
    2,052,003,564x = 18,537,855,938,054,856,704
  5. Step 5: Solve for x
    x = 18,537,855,938,054,856,704/2,052,003,564
  6. Step 6: Final answer
    x = 9,034,027,164.12

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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.