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Finding the Third Proportional to 700,825,056 and 1,622,364,720

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Solution

The third proportional to 700,825,056 and 1,622,364,720 is: 3,755,669,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,825,056 : 1,622,364,720 = 1,622,364,720 : x
  2. Step 2: Convert to fraction form
    700,825,056/1,622,364,720 = 1,622,364,720/x
  3. Step 3: Cross multiply
    700,825,056x = 1,622,364,720 × 1,622,364,720
  4. Step 4: Simplify right side
    700,825,056x = 2,632,067,284,700,678,144
  5. Step 5: Solve for x
    x = 2,632,067,284,700,678,144/700,825,056
  6. Step 6: Final answer
    x = 3,755,669,495.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.