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Finding the Third Proportional to 2,098,937,203 and 4,593,268,166

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Solution

The third proportional to 2,098,937,203 and 4,593,268,166 is: 10,051,807,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,937,203 : 4,593,268,166 = 4,593,268,166 : x
  2. Step 2: Convert to fraction form
    2,098,937,203/4,593,268,166 = 4,593,268,166/x
  3. Step 3: Cross multiply
    2,098,937,203x = 4,593,268,166 × 4,593,268,166
  4. Step 4: Simplify right side
    2,098,937,203x = 21,098,112,444,789,002,240
  5. Step 5: Solve for x
    x = 21,098,112,444,789,002,240/2,098,937,203
  6. Step 6: Final answer
    x = 10,051,807,369.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.