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Finding the Third Proportional to 121,122,022 and 265,693,673

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Solution

The third proportional to 121,122,022 and 265,693,673 is: 582,826,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,122,022 : 265,693,673 = 265,693,673 : x
  2. Step 2: Convert to fraction form
    121,122,022/265,693,673 = 265,693,673/x
  3. Step 3: Cross multiply
    121,122,022x = 265,693,673 × 265,693,673
  4. Step 4: Simplify right side
    121,122,022x = 70,593,127,872,230,928
  5. Step 5: Solve for x
    x = 70,593,127,872,230,928/121,122,022
  6. Step 6: Final answer
    x = 582,826,530.69

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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.