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Finding the Third Proportional to 1,110,763,211 and 2,313,463,642

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Solution

The third proportional to 1,110,763,211 and 2,313,463,642 is: 4,818,411,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110,763,211 : 2,313,463,642 = 2,313,463,642 : x
  2. Step 2: Convert to fraction form
    1,110,763,211/2,313,463,642 = 2,313,463,642/x
  3. Step 3: Cross multiply
    1,110,763,211x = 2,313,463,642 × 2,313,463,642
  4. Step 4: Simplify right side
    1,110,763,211x = 5,352,114,022,855,904,256
  5. Step 5: Solve for x
    x = 5,352,114,022,855,904,256/1,110,763,211
  6. Step 6: Final answer
    x = 4,818,411,313.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.