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Finding the Third Proportional to 288,622,334.25 and 630,149,256

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Solution

The third proportional to 288,622,334.25 and 630,149,256 is: 1,375,805,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,622,334.25 : 630,149,256 = 630,149,256 : x
  2. Step 2: Convert to fraction form
    288,622,334.25/630,149,256 = 630,149,256/x
  3. Step 3: Cross multiply
    288,622,334.25x = 630,149,256 × 630,149,256
  4. Step 4: Simplify right side
    288,622,334.25x = 397,088,084,837,353,536
  5. Step 5: Solve for x
    x = 397,088,084,837,353,536/288,622,334.25
  6. Step 6: Final answer
    x = 1,375,805,118.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.