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Finding the Third Proportional to 700,825,058 and 1,622,364,725

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Solution

The third proportional to 700,825,058 and 1,622,364,725 is: 3,755,669,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,825,058 : 1,622,364,725 = 1,622,364,725 : x
  2. Step 2: Convert to fraction form
    700,825,058/1,622,364,725 = 1,622,364,725/x
  3. Step 3: Cross multiply
    700,825,058x = 1,622,364,725 × 1,622,364,725
  4. Step 4: Simplify right side
    700,825,058x = 2,632,067,300,924,325,376
  5. Step 5: Solve for x
    x = 2,632,067,300,924,325,376/700,825,058
  6. Step 6: Final answer
    x = 3,755,669,508.22

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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.