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Finding the Third Proportional to 222,242,397 and 478,619,319.75

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Solution

The third proportional to 222,242,397 and 478,619,319.75 is: 1,030,750,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,242,397 : 478,619,319.75 = 478,619,319.75 : x
  2. Step 2: Convert to fraction form
    222,242,397/478,619,319.75 = 478,619,319.75/x
  3. Step 3: Cross multiply
    222,242,397x = 478,619,319.75 × 478,619,319.75
  4. Step 4: Simplify right side
    222,242,397x = 229,076,453,237,952,736
  5. Step 5: Solve for x
    x = 229,076,453,237,952,736/222,242,397
  6. Step 6: Final answer
    x = 1,030,750,461.34

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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.