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Finding the Third Proportional to 435,430,150,960 and 605,430,820,104

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Solution

The third proportional to 435,430,150,960 and 605,430,820,104 is: 841,803,162,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,430,150,960 : 605,430,820,104 = 605,430,820,104 : x
  2. Step 2: Convert to fraction form
    435,430,150,960/605,430,820,104 = 605,430,820,104/x
  3. Step 3: Cross multiply
    435,430,150,960x = 605,430,820,104 × 605,430,820,104
  4. Step 4: Simplify right side
    435,430,150,960x = 366,546,477,931,801,981,485,056
  5. Step 5: Solve for x
    x = 366,546,477,931,801,981,485,056/435,430,150,960
  6. Step 6: Final answer
    x = 841,803,162,054.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.