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Finding the Third Proportional to 1,947,924,827 and 4,171,667,586

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Solution

The third proportional to 1,947,924,827 and 4,171,667,586 is: 8,934,025,690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,924,827 : 4,171,667,586 = 4,171,667,586 : x
  2. Step 2: Convert to fraction form
    1,947,924,827/4,171,667,586 = 4,171,667,586/x
  3. Step 3: Cross multiply
    1,947,924,827x = 4,171,667,586 × 4,171,667,586
  4. Step 4: Simplify right side
    1,947,924,827x = 17,402,810,448,083,066,880
  5. Step 5: Solve for x
    x = 17,402,810,448,083,066,880/1,947,924,827
  6. Step 6: Final answer
    x = 8,934,025,690.76

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