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Finding the Third Proportional to 363,901,010 and 520,382,739

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Solution

The third proportional to 363,901,010 and 520,382,739 is: 744,153,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,901,010 : 520,382,739 = 520,382,739 : x
  2. Step 2: Convert to fraction form
    363,901,010/520,382,739 = 520,382,739/x
  3. Step 3: Cross multiply
    363,901,010x = 520,382,739 × 520,382,739
  4. Step 4: Simplify right side
    363,901,010x = 270,798,195,049,142,112
  5. Step 5: Solve for x
    x = 270,798,195,049,142,112/363,901,010
  6. Step 6: Final answer
    x = 744,153,458.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.