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Finding the Third Proportional to 1,947,924,830 and 4,171,667,592

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Solution

The third proportional to 1,947,924,830 and 4,171,667,592 is: 8,934,025,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,924,830 : 4,171,667,592 = 4,171,667,592 : x
  2. Step 2: Convert to fraction form
    1,947,924,830/4,171,667,592 = 4,171,667,592/x
  3. Step 3: Cross multiply
    1,947,924,830x = 4,171,667,592 × 4,171,667,592
  4. Step 4: Simplify right side
    1,947,924,830x = 17,402,810,498,143,078,400
  5. Step 5: Solve for x
    x = 17,402,810,498,143,078,400/1,947,924,830
  6. Step 6: Final answer
    x = 8,934,025,702.70

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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.