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Finding the Third Proportional to 695,768,928 and 1,491,135,024

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Solution

The third proportional to 695,768,928 and 1,491,135,024 is: 3,195,721,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,768,928 : 1,491,135,024 = 1,491,135,024 : x
  2. Step 2: Convert to fraction form
    695,768,928/1,491,135,024 = 1,491,135,024/x
  3. Step 3: Cross multiply
    695,768,928x = 1,491,135,024 × 1,491,135,024
  4. Step 4: Simplify right side
    695,768,928x = 2,223,483,659,799,480,576
  5. Step 5: Solve for x
    x = 2,223,483,659,799,480,576/695,768,928
  6. Step 6: Final answer
    x = 3,195,721,410.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.