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Finding the Third Proportional to 644,042,602 and 1,414,608,500

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Solution

The third proportional to 644,042,602 and 1,414,608,500 is: 3,107,119,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,042,602 : 1,414,608,500 = 1,414,608,500 : x
  2. Step 2: Convert to fraction form
    644,042,602/1,414,608,500 = 1,414,608,500/x
  3. Step 3: Cross multiply
    644,042,602x = 1,414,608,500 × 1,414,608,500
  4. Step 4: Simplify right side
    644,042,602x = 2,001,117,208,272,250,112
  5. Step 5: Solve for x
    x = 2,001,117,208,272,250,112/644,042,602
  6. Step 6: Final answer
    x = 3,107,119,314.87

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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.