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Finding the Third Proportional to 306,244,619 and 672,010,468

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Solution

The third proportional to 306,244,619 and 672,010,468 is: 1,474,631,850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,244,619 : 672,010,468 = 672,010,468 : x
  2. Step 2: Convert to fraction form
    306,244,619/672,010,468 = 672,010,468/x
  3. Step 3: Cross multiply
    306,244,619x = 672,010,468 × 672,010,468
  4. Step 4: Simplify right side
    306,244,619x = 451,598,069,101,579,008
  5. Step 5: Solve for x
    x = 451,598,069,101,579,008/306,244,619
  6. Step 6: Final answer
    x = 1,474,631,850.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.