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Finding the Third Proportional to 222,077,844 and 481,221,072

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Solution

The third proportional to 222,077,844 and 481,221,072 is: 1,042,759,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,077,844 : 481,221,072 = 481,221,072 : x
  2. Step 2: Convert to fraction form
    222,077,844/481,221,072 = 481,221,072/x
  3. Step 3: Cross multiply
    222,077,844x = 481,221,072 × 481,221,072
  4. Step 4: Simplify right side
    222,077,844x = 231,573,720,136,829,184
  5. Step 5: Solve for x
    x = 231,573,720,136,829,184/222,077,844
  6. Step 6: Final answer
    x = 1,042,759,223.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.