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Finding the Third Proportional to 239,300,451,975 and 518,311,592,643

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Solution

The third proportional to 239,300,451,975 and 518,311,592,643 is: 1,122,634,348,790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,300,451,975 : 518,311,592,643 = 518,311,592,643 : x
  2. Step 2: Convert to fraction form
    239,300,451,975/518,311,592,643 = 518,311,592,643/x
  3. Step 3: Cross multiply
    239,300,451,975x = 518,311,592,643 × 518,311,592,643
  4. Step 4: Simplify right side
    239,300,451,975x = 268,646,907,068,123,162,083,328
  5. Step 5: Solve for x
    x = 268,646,907,068,123,162,083,328/239,300,451,975
  6. Step 6: Final answer
    x = 1,122,634,348,790.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.