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Finding the Third Proportional to 6,555,363,516 and 14,418,271,200

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Solution

The third proportional to 6,555,363,516 and 14,418,271,200 is: 31,712,435,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555,363,516 : 14,418,271,200 = 14,418,271,200 : x
  2. Step 2: Convert to fraction form
    6,555,363,516/14,418,271,200 = 14,418,271,200/x
  3. Step 3: Cross multiply
    6,555,363,516x = 14,418,271,200 × 14,418,271,200
  4. Step 4: Simplify right side
    6,555,363,516x = 207,886,544,396,749,438,976
  5. Step 5: Solve for x
    x = 207,886,544,396,749,438,976/6,555,363,516
  6. Step 6: Final answer
    x = 31,712,435,761.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.