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Finding the Third Proportional to 435,430,150,953 and 605,430,820,086

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Solution

The third proportional to 435,430,150,953 and 605,430,820,086 is: 841,803,162,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,430,150,953 : 605,430,820,086 = 605,430,820,086 : x
  2. Step 2: Convert to fraction form
    435,430,150,953/605,430,820,086 = 605,430,820,086/x
  3. Step 3: Cross multiply
    435,430,150,953x = 605,430,820,086 × 605,430,820,086
  4. Step 4: Simplify right side
    435,430,150,953x = 366,546,477,910,006,498,852,864
  5. Step 5: Solve for x
    x = 366,546,477,910,006,498,852,864/435,430,150,953
  6. Step 6: Final answer
    x = 841,803,162,017.53

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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.