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Finding the Third Proportional to 222,242,769 and 478,620,072

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Solution

The third proportional to 222,242,769 and 478,620,072 is: 1,030,751,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,242,769 : 478,620,072 = 478,620,072 : x
  2. Step 2: Convert to fraction form
    222,242,769/478,620,072 = 478,620,072/x
  3. Step 3: Cross multiply
    222,242,769x = 478,620,072 × 478,620,072
  4. Step 4: Simplify right side
    222,242,769x = 229,077,173,321,285,184
  5. Step 5: Solve for x
    x = 229,077,173,321,285,184/222,242,769
  6. Step 6: Final answer
    x = 1,030,751,976.10

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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.