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Finding the Third Proportional to 269,810,594,365.50 and 599,946,985,318.48

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Solution

The third proportional to 269,810,594,365.50 and 599,946,985,318.48 is: 1,334,033,550,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,810,594,365.50 : 599,946,985,318.48 = 599,946,985,318.48 : x
  2. Step 2: Convert to fraction form
    269,810,594,365.50/599,946,985,318.48 = 599,946,985,318.48/x
  3. Step 3: Cross multiply
    269,810,594,365.50x = 599,946,985,318.48 × 599,946,985,318.48
  4. Step 4: Simplify right side
    269,810,594,365.50x = 359,936,385,192,732,454,289,408
  5. Step 5: Solve for x
    x = 359,936,385,192,732,454,289,408/269,810,594,365.50
  6. Step 6: Final answer
    x = 1,334,033,550,606.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.