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Finding the Third Proportional to 2,037,618,166 and 3,058,583,922

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Solution

The third proportional to 2,037,618,166 and 3,058,583,922 is: 4,591,113,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,618,166 : 3,058,583,922 = 3,058,583,922 : x
  2. Step 2: Convert to fraction form
    2,037,618,166/3,058,583,922 = 3,058,583,922/x
  3. Step 3: Cross multiply
    2,037,618,166x = 3,058,583,922 × 3,058,583,922
  4. Step 4: Simplify right side
    2,037,618,166x = 9,354,935,607,916,902,400
  5. Step 5: Solve for x
    x = 9,354,935,607,916,902,400/2,037,618,166
  6. Step 6: Final answer
    x = 4,591,113,175.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.