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Finding the Third Proportional to 1,765,632,050 and 3,784,765,143

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Solution

The third proportional to 1,765,632,050 and 3,784,765,143 is: 8,112,928,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,632,050 : 3,784,765,143 = 3,784,765,143 : x
  2. Step 2: Convert to fraction form
    1,765,632,050/3,784,765,143 = 3,784,765,143/x
  3. Step 3: Cross multiply
    1,765,632,050x = 3,784,765,143 × 3,784,765,143
  4. Step 4: Simplify right side
    1,765,632,050x = 14,324,447,187,667,810,304
  5. Step 5: Solve for x
    x = 14,324,447,187,667,810,304/1,765,632,050
  6. Step 6: Final answer
    x = 8,112,928,844.75

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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.