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Finding the Third Proportional to 1,022,190,816 and 2,223,480,006

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Solution

The third proportional to 1,022,190,816 and 2,223,480,006 is: 4,836,536,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,190,816 : 2,223,480,006 = 2,223,480,006 : x
  2. Step 2: Convert to fraction form
    1,022,190,816/2,223,480,006 = 2,223,480,006/x
  3. Step 3: Cross multiply
    1,022,190,816x = 2,223,480,006 × 2,223,480,006
  4. Step 4: Simplify right side
    1,022,190,816x = 4,943,863,337,081,759,744
  5. Step 5: Solve for x
    x = 4,943,863,337,081,759,744/1,022,190,816
  6. Step 6: Final answer
    x = 4,836,536,642.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.