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Finding the Third Proportional to 222,970,034 and 480,109,748

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Solution

The third proportional to 222,970,034 and 480,109,748 is: 1,033,795,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,970,034 : 480,109,748 = 480,109,748 : x
  2. Step 2: Convert to fraction form
    222,970,034/480,109,748 = 480,109,748/x
  3. Step 3: Cross multiply
    222,970,034x = 480,109,748 × 480,109,748
  4. Step 4: Simplify right side
    222,970,034x = 230,505,370,124,623,488
  5. Step 5: Solve for x
    x = 230,505,370,124,623,488/222,970,034
  6. Step 6: Final answer
    x = 1,033,795,286.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.