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Finding the Third Proportional to 269,810,588,568 and 599,946,973,896

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Solution

The third proportional to 269,810,588,568 and 599,946,973,896 is: 1,334,033,528,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,810,588,568 : 599,946,973,896 = 599,946,973,896 : x
  2. Step 2: Convert to fraction form
    269,810,588,568/599,946,973,896 = 599,946,973,896/x
  3. Step 3: Cross multiply
    269,810,588,568x = 599,946,973,896 × 599,946,973,896
  4. Step 4: Simplify right side
    269,810,588,568x = 359,936,371,486,967,692,525,568
  5. Step 5: Solve for x
    x = 359,936,371,486,967,692,525,568/269,810,588,568
  6. Step 6: Final answer
    x = 1,334,033,528,473.82

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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.