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Finding the Third Proportional to 3,163,072,152 and 6,587,949,849

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Solution

The third proportional to 3,163,072,152 and 6,587,949,849 is: 13,721,180,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,072,152 : 6,587,949,849 = 6,587,949,849 : x
  2. Step 2: Convert to fraction form
    3,163,072,152/6,587,949,849 = 6,587,949,849/x
  3. Step 3: Cross multiply
    3,163,072,152x = 6,587,949,849 × 6,587,949,849
  4. Step 4: Simplify right side
    3,163,072,152x = 43,401,083,212,939,124,736
  5. Step 5: Solve for x
    x = 43,401,083,212,939,124,736/3,163,072,152
  6. Step 6: Final answer
    x = 13,721,180,272.63

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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.