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Finding the Third Proportional to 1,905,385,561 and 3,967,354,945

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Solution

The third proportional to 1,905,385,561 and 3,967,354,945 is: 8,260,745,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,385,561 : 3,967,354,945 = 3,967,354,945 : x
  2. Step 2: Convert to fraction form
    1,905,385,561/3,967,354,945 = 3,967,354,945/x
  3. Step 3: Cross multiply
    1,905,385,561x = 3,967,354,945 × 3,967,354,945
  4. Step 4: Simplify right side
    1,905,385,561x = 15,739,905,259,615,952,896
  5. Step 5: Solve for x
    x = 15,739,905,259,615,952,896/1,905,385,561
  6. Step 6: Final answer
    x = 8,260,745,531.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.