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Finding the Third Proportional to 321,857,269 and 695,168,360

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Solution

The third proportional to 321,857,269 and 695,168,360 is: 1,501,470,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,857,269 : 695,168,360 = 695,168,360 : x
  2. Step 2: Convert to fraction form
    321,857,269/695,168,360 = 695,168,360/x
  3. Step 3: Cross multiply
    321,857,269x = 695,168,360 × 695,168,360
  4. Step 4: Simplify right side
    321,857,269x = 483,259,048,745,089,600
  5. Step 5: Solve for x
    x = 483,259,048,745,089,600/321,857,269
  6. Step 6: Final answer
    x = 1,501,470,046.79

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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.