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Finding the Third Proportional to 305,668,845 and 671,387,202

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Solution

The third proportional to 305,668,845 and 671,387,202 is: 1,474,670,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,668,845 : 671,387,202 = 671,387,202 : x
  2. Step 2: Convert to fraction form
    305,668,845/671,387,202 = 671,387,202/x
  3. Step 3: Cross multiply
    305,668,845x = 671,387,202 × 671,387,202
  4. Step 4: Simplify right side
    305,668,845x = 450,760,775,009,388,800
  5. Step 5: Solve for x
    x = 450,760,775,009,388,800/305,668,845
  6. Step 6: Final answer
    x = 1,474,670,325.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.