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Finding the Third Proportional to 2,795,965,542 and 4,341,269,523

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Solution

The third proportional to 2,795,965,542 and 4,341,269,523 is: 6,740,648,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795,965,542 : 4,341,269,523 = 4,341,269,523 : x
  2. Step 2: Convert to fraction form
    2,795,965,542/4,341,269,523 = 4,341,269,523/x
  3. Step 3: Cross multiply
    2,795,965,542x = 4,341,269,523 × 4,341,269,523
  4. Step 4: Simplify right side
    2,795,965,542x = 18,846,621,071,328,649,216
  5. Step 5: Solve for x
    x = 18,846,621,071,328,649,216/2,795,965,542
  6. Step 6: Final answer
    x = 6,740,648,548.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.