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Finding the Third Proportional to 320,419,613 and 657,825,655

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Solution

The third proportional to 320,419,613 and 657,825,655 is: 1,350,524,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,419,613 : 657,825,655 = 657,825,655 : x
  2. Step 2: Convert to fraction form
    320,419,613/657,825,655 = 657,825,655/x
  3. Step 3: Cross multiply
    320,419,613x = 657,825,655 × 657,825,655
  4. Step 4: Simplify right side
    320,419,613x = 432,734,592,376,179,008
  5. Step 5: Solve for x
    x = 432,734,592,376,179,008/320,419,613
  6. Step 6: Final answer
    x = 1,350,524,670.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.