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Finding the Third Proportional to 515,816,116 and 1,132,965,670

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Solution

The third proportional to 515,816,116 and 1,132,965,670 is: 2,488,505,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,816,116 : 1,132,965,670 = 1,132,965,670 : x
  2. Step 2: Convert to fraction form
    515,816,116/1,132,965,670 = 1,132,965,670/x
  3. Step 3: Cross multiply
    515,816,116x = 1,132,965,670 × 1,132,965,670
  4. Step 4: Simplify right side
    515,816,116x = 1,283,611,209,398,548,992
  5. Step 5: Solve for x
    x = 1,283,611,209,398,548,992/515,816,116
  6. Step 6: Final answer
    x = 2,488,505,437.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.