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Finding the Third Proportional to 67,268,738 and 102,582,723

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Solution

The third proportional to 67,268,738 and 102,582,723 is: 156,435,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,268,738 : 102,582,723 = 102,582,723 : x
  2. Step 2: Convert to fraction form
    67,268,738/102,582,723 = 102,582,723/x
  3. Step 3: Cross multiply
    67,268,738x = 102,582,723 × 102,582,723
  4. Step 4: Simplify right side
    67,268,738x = 10,523,215,058,094,728
  5. Step 5: Solve for x
    x = 10,523,215,058,094,728/67,268,738
  6. Step 6: Final answer
    x = 156,435,446.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.