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Finding the Third Proportional to 3,163,072,147 and 6,587,949,838

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Solution

The third proportional to 3,163,072,147 and 6,587,949,838 is: 13,721,180,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,072,147 : 6,587,949,838 = 6,587,949,838 : x
  2. Step 2: Convert to fraction form
    3,163,072,147/6,587,949,838 = 6,587,949,838/x
  3. Step 3: Cross multiply
    3,163,072,147x = 6,587,949,838 × 6,587,949,838
  4. Step 4: Simplify right side
    3,163,072,147x = 43,401,083,068,004,229,120
  5. Step 5: Solve for x
    x = 43,401,083,068,004,229,120/3,163,072,147
  6. Step 6: Final answer
    x = 13,721,180,248.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.