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Finding the Third Proportional to 226,627,659 and 500,893,092

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Solution

The third proportional to 226,627,659 and 500,893,092 is: 1,107,075,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,627,659 : 500,893,092 = 500,893,092 : x
  2. Step 2: Convert to fraction form
    226,627,659/500,893,092 = 500,893,092/x
  3. Step 3: Cross multiply
    226,627,659x = 500,893,092 × 500,893,092
  4. Step 4: Simplify right side
    226,627,659x = 250,893,889,613,320,448
  5. Step 5: Solve for x
    x = 250,893,889,613,320,448/226,627,659
  6. Step 6: Final answer
    x = 1,107,075,326.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.