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Finding the Third Proportional to 3,163,081,560 and 6,587,965,920

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Solution

The third proportional to 3,163,081,560 and 6,587,965,920 is: 13,721,206,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,081,560 : 6,587,965,920 = 6,587,965,920 : x
  2. Step 2: Convert to fraction form
    3,163,081,560/6,587,965,920 = 6,587,965,920/x
  3. Step 3: Cross multiply
    3,163,081,560x = 6,587,965,920 × 6,587,965,920
  4. Step 4: Simplify right side
    3,163,081,560x = 43,401,294,963,081,445,376
  5. Step 5: Solve for x
    x = 43,401,294,963,081,445,376/3,163,081,560
  6. Step 6: Final answer
    x = 13,721,206,405.78

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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.