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Finding the Third Proportional to 366,017,164.88 and 557,601,998.63

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Solution

The third proportional to 366,017,164.88 and 557,601,998.63 is: 849,468,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,017,164.88 : 557,601,998.63 = 557,601,998.63 : x
  2. Step 2: Convert to fraction form
    366,017,164.88/557,601,998.63 = 557,601,998.63/x
  3. Step 3: Cross multiply
    366,017,164.88x = 557,601,998.63 × 557,601,998.63
  4. Step 4: Simplify right side
    366,017,164.88x = 310,919,988,870,594,496
  5. Step 5: Solve for x
    x = 310,919,988,870,594,496/366,017,164.88
  6. Step 6: Final answer
    x = 849,468,327.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.