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Finding the Third Proportional to 280,759,122 and 605,910,180

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Solution

The third proportional to 280,759,122 and 605,910,180 is: 1,307,623,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,759,122 : 605,910,180 = 605,910,180 : x
  2. Step 2: Convert to fraction form
    280,759,122/605,910,180 = 605,910,180/x
  3. Step 3: Cross multiply
    280,759,122x = 605,910,180 × 605,910,180
  4. Step 4: Simplify right side
    280,759,122x = 367,127,146,227,632,384
  5. Step 5: Solve for x
    x = 367,127,146,227,632,384/280,759,122
  6. Step 6: Final answer
    x = 1,307,623,216.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.