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Finding the Third Proportional to 1,212,985,229 and 1,733,383,995

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Solution

The third proportional to 1,212,985,229 and 1,733,383,995 is: 2,477,045,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,985,229 : 1,733,383,995 = 1,733,383,995 : x
  2. Step 2: Convert to fraction form
    1,212,985,229/1,733,383,995 = 1,733,383,995/x
  3. Step 3: Cross multiply
    1,212,985,229x = 1,733,383,995 × 1,733,383,995
  4. Step 4: Simplify right side
    1,212,985,229x = 3,004,620,074,122,160,128
  5. Step 5: Solve for x
    x = 3,004,620,074,122,160,128/1,212,985,229
  6. Step 6: Final answer
    x = 2,477,045,888.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.