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Finding the Third Proportional to 339,622,848 and 727,680,618

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Solution

The third proportional to 339,622,848 and 727,680,618 is: 1,559,138,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,622,848 : 727,680,618 = 727,680,618 : x
  2. Step 2: Convert to fraction form
    339,622,848/727,680,618 = 727,680,618/x
  3. Step 3: Cross multiply
    339,622,848x = 727,680,618 × 727,680,618
  4. Step 4: Simplify right side
    339,622,848x = 529,519,081,812,861,952
  5. Step 5: Solve for x
    x = 529,519,081,812,861,952/339,622,848
  6. Step 6: Final answer
    x = 1,559,138,570.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.