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Finding the Third Proportional to 357,883,580,655 and 555,682,485,910.50

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Solution

The third proportional to 357,883,580,655 and 555,682,485,910.50 is: 862,802,994,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,883,580,655 : 555,682,485,910.50 = 555,682,485,910.50 : x
  2. Step 2: Convert to fraction form
    357,883,580,655/555,682,485,910.50 = 555,682,485,910.50/x
  3. Step 3: Cross multiply
    357,883,580,655x = 555,682,485,910.50 × 555,682,485,910.50
  4. Step 4: Simplify right side
    357,883,580,655x = 308,783,025,147,673,009,192,960
  5. Step 5: Solve for x
    x = 308,783,025,147,673,009,192,960/357,883,580,655
  6. Step 6: Final answer
    x = 862,802,994,712.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.