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Finding the Third Proportional to 272,892,509 and 593,598,671

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Solution

The third proportional to 272,892,509 and 593,598,671 is: 1,291,202,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,892,509 : 593,598,671 = 593,598,671 : x
  2. Step 2: Convert to fraction form
    272,892,509/593,598,671 = 593,598,671/x
  3. Step 3: Cross multiply
    272,892,509x = 593,598,671 × 593,598,671
  4. Step 4: Simplify right side
    272,892,509x = 352,359,382,212,966,272
  5. Step 5: Solve for x
    x = 352,359,382,212,966,272/272,892,509
  6. Step 6: Final answer
    x = 1,291,202,105.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.