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Finding the Third Proportional to 923,474,468 and 2,031,640,600

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Solution

The third proportional to 923,474,468 and 2,031,640,600 is: 4,469,602,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,474,468 : 2,031,640,600 = 2,031,640,600 : x
  2. Step 2: Convert to fraction form
    923,474,468/2,031,640,600 = 2,031,640,600/x
  3. Step 3: Cross multiply
    923,474,468x = 2,031,640,600 × 2,031,640,600
  4. Step 4: Simplify right side
    923,474,468x = 4,127,563,527,568,359,936
  5. Step 5: Solve for x
    x = 4,127,563,527,568,359,936/923,474,468
  6. Step 6: Final answer
    x = 4,469,602,214.89

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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.