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Finding the Third Proportional to 222,404,618 and 463,217,356

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Solution

The third proportional to 222,404,618 and 463,217,356 is: 964,774,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,404,618 : 463,217,356 = 463,217,356 : x
  2. Step 2: Convert to fraction form
    222,404,618/463,217,356 = 463,217,356/x
  3. Step 3: Cross multiply
    222,404,618x = 463,217,356 × 463,217,356
  4. Step 4: Simplify right side
    222,404,618x = 214,570,318,899,630,720
  5. Step 5: Solve for x
    x = 214,570,318,899,630,720/222,404,618
  6. Step 6: Final answer
    x = 964,774,566.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.