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Finding the Third Proportional to 275,970,606.75 and 605,562,199.13

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Solution

The third proportional to 275,970,606.75 and 605,562,199.13 is: 1,328,784,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,970,606.75 : 605,562,199.13 = 605,562,199.13 : x
  2. Step 2: Convert to fraction form
    275,970,606.75/605,562,199.13 = 605,562,199.13/x
  3. Step 3: Cross multiply
    275,970,606.75x = 605,562,199.13 × 605,562,199.13
  4. Step 4: Simplify right side
    275,970,606.75x = 366,705,577,009,106,176
  5. Step 5: Solve for x
    x = 366,705,577,009,106,176/275,970,606.75
  6. Step 6: Final answer
    x = 1,328,784,906.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.