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Finding the Third Proportional to 1,002,763,810 and 2,199,238,148

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Solution

The third proportional to 1,002,763,810 and 2,199,238,148 is: 4,823,317,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,763,810 : 2,199,238,148 = 2,199,238,148 : x
  2. Step 2: Convert to fraction form
    1,002,763,810/2,199,238,148 = 2,199,238,148/x
  3. Step 3: Cross multiply
    1,002,763,810x = 2,199,238,148 × 2,199,238,148
  4. Step 4: Simplify right side
    1,002,763,810x = 4,836,648,431,618,469,888
  5. Step 5: Solve for x
    x = 4,836,648,431,618,469,888/1,002,763,810
  6. Step 6: Final answer
    x = 4,823,317,697.93

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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.