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Finding the Third Proportional to 1,765,632,078 and 3,784,765,185

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Solution

The third proportional to 1,765,632,078 and 3,784,765,185 is: 8,112,928,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,632,078 : 3,784,765,185 = 3,784,765,185 : x
  2. Step 2: Convert to fraction form
    1,765,632,078/3,784,765,185 = 3,784,765,185/x
  3. Step 3: Cross multiply
    1,765,632,078x = 3,784,765,185 × 3,784,765,185
  4. Step 4: Simplify right side
    1,765,632,078x = 14,324,447,505,588,084,736
  5. Step 5: Solve for x
    x = 14,324,447,505,588,084,736/1,765,632,078
  6. Step 6: Final answer
    x = 8,112,928,896.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.