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Finding the Third Proportional to 1,765,632,052 and 3,784,765,147

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Solution

The third proportional to 1,765,632,052 and 3,784,765,147 is: 8,112,928,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,632,052 : 3,784,765,147 = 3,784,765,147 : x
  2. Step 2: Convert to fraction form
    1,765,632,052/3,784,765,147 = 3,784,765,147/x
  3. Step 3: Cross multiply
    1,765,632,052x = 3,784,765,147 × 3,784,765,147
  4. Step 4: Simplify right side
    1,765,632,052x = 14,324,447,217,945,931,776
  5. Step 5: Solve for x
    x = 14,324,447,217,945,931,776/1,765,632,052
  6. Step 6: Final answer
    x = 8,112,928,852.71

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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.