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Finding the Third Proportional to 1,025,195,232 and 2,236,685,532

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Solution

The third proportional to 1,025,195,232 and 2,236,685,532 is: 4,879,814,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,195,232 : 2,236,685,532 = 2,236,685,532 : x
  2. Step 2: Convert to fraction form
    1,025,195,232/2,236,685,532 = 2,236,685,532/x
  3. Step 3: Cross multiply
    1,025,195,232x = 2,236,685,532 × 2,236,685,532
  4. Step 4: Simplify right side
    1,025,195,232x = 5,002,762,169,058,122,752
  5. Step 5: Solve for x
    x = 5,002,762,169,058,122,752/1,025,195,232
  6. Step 6: Final answer
    x = 4,879,814,120.18

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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.