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Finding the Third Proportional to 1,947,924,829 and 4,171,667,590

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Solution

The third proportional to 1,947,924,829 and 4,171,667,590 is: 8,934,025,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,924,829 : 4,171,667,590 = 4,171,667,590 : x
  2. Step 2: Convert to fraction form
    1,947,924,829/4,171,667,590 = 4,171,667,590/x
  3. Step 3: Cross multiply
    1,947,924,829x = 4,171,667,590 × 4,171,667,590
  4. Step 4: Simplify right side
    1,947,924,829x = 17,402,810,481,456,408,576
  5. Step 5: Solve for x
    x = 17,402,810,481,456,408,576/1,947,924,829
  6. Step 6: Final answer
    x = 8,934,025,698.72

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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.