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Finding the Third Proportional to 3,163,081,564 and 6,587,965,928

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Solution

The third proportional to 3,163,081,564 and 6,587,965,928 is: 13,721,206,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,081,564 : 6,587,965,928 = 6,587,965,928 : x
  2. Step 2: Convert to fraction form
    3,163,081,564/6,587,965,928 = 6,587,965,928/x
  3. Step 3: Cross multiply
    3,163,081,564x = 6,587,965,928 × 6,587,965,928
  4. Step 4: Simplify right side
    3,163,081,564x = 43,401,295,068,488,900,608
  5. Step 5: Solve for x
    x = 43,401,295,068,488,900,608/3,163,081,564
  6. Step 6: Final answer
    x = 13,721,206,421.75

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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.