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Finding the Third Proportional to 140,770,911 and 294,412,560

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Solution

The third proportional to 140,770,911 and 294,412,560 is: 615,743,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,770,911 : 294,412,560 = 294,412,560 : x
  2. Step 2: Convert to fraction form
    140,770,911/294,412,560 = 294,412,560/x
  3. Step 3: Cross multiply
    140,770,911x = 294,412,560 × 294,412,560
  4. Step 4: Simplify right side
    140,770,911x = 86,678,755,485,753,600
  5. Step 5: Solve for x
    x = 86,678,755,485,753,600/140,770,911
  6. Step 6: Final answer
    x = 615,743,372.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.