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Finding the Third Proportional to 269,810,588,716 and 599,946,974,086

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Solution

The third proportional to 269,810,588,716 and 599,946,974,086 is: 1,334,033,528,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,810,588,716 : 599,946,974,086 = 599,946,974,086 : x
  2. Step 2: Convert to fraction form
    269,810,588,716/599,946,974,086 = 599,946,974,086/x
  3. Step 3: Cross multiply
    269,810,588,716x = 599,946,974,086 × 599,946,974,086
  4. Step 4: Simplify right side
    269,810,588,716x = 359,936,371,714,947,576,496,128
  5. Step 5: Solve for x
    x = 359,936,371,714,947,576,496,128/269,810,588,716
  6. Step 6: Final answer
    x = 1,334,033,528,587.02

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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.