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Finding the Third Proportional to 268,466,724 and 414,568,710

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Solution

The third proportional to 268,466,724 and 414,568,710 is: 640,180,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,466,724 : 414,568,710 = 414,568,710 : x
  2. Step 2: Convert to fraction form
    268,466,724/414,568,710 = 414,568,710/x
  3. Step 3: Cross multiply
    268,466,724x = 414,568,710 × 414,568,710
  4. Step 4: Simplify right side
    268,466,724x = 171,867,215,311,064,096
  5. Step 5: Solve for x
    x = 171,867,215,311,064,096/268,466,724
  6. Step 6: Final answer
    x = 640,180,700.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.