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Finding the Third Proportional to 3,809,652,516 and 8,203,126,140

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Solution

The third proportional to 3,809,652,516 and 8,203,126,140 is: 17,663,363,833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809,652,516 : 8,203,126,140 = 8,203,126,140 : x
  2. Step 2: Convert to fraction form
    3,809,652,516/8,203,126,140 = 8,203,126,140/x
  3. Step 3: Cross multiply
    3,809,652,516x = 8,203,126,140 × 8,203,126,140
  4. Step 4: Simplify right side
    3,809,652,516x = 67,291,278,468,751,302,656
  5. Step 5: Solve for x
    x = 67,291,278,468,751,302,656/3,809,652,516
  6. Step 6: Final answer
    x = 17,663,363,833.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.