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Finding the Third Proportional to 1,765,632,045 and 3,784,765,125

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Solution

The third proportional to 1,765,632,045 and 3,784,765,125 is: 8,112,928,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,632,045 : 3,784,765,125 = 3,784,765,125 : x
  2. Step 2: Convert to fraction form
    1,765,632,045/3,784,765,125 = 3,784,765,125/x
  3. Step 3: Cross multiply
    1,765,632,045x = 3,784,765,125 × 3,784,765,125
  4. Step 4: Simplify right side
    1,765,632,045x = 14,324,447,051,416,264,704
  5. Step 5: Solve for x
    x = 14,324,447,051,416,264,704/1,765,632,045
  6. Step 6: Final answer
    x = 8,112,928,790.56

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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.