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Finding the Third Proportional to 3,163,088,396 and 6,587,981,104

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Solution

The third proportional to 3,163,088,396 and 6,587,981,104 is: 13,721,240,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,088,396 : 6,587,981,104 = 6,587,981,104 : x
  2. Step 2: Convert to fraction form
    3,163,088,396/6,587,981,104 = 6,587,981,104/x
  3. Step 3: Cross multiply
    3,163,088,396x = 6,587,981,104 × 6,587,981,104
  4. Step 4: Simplify right side
    3,163,088,396x = 43,401,495,026,661,056,512
  5. Step 5: Solve for x
    x = 43,401,495,026,661,056,512/3,163,088,396
  6. Step 6: Final answer
    x = 13,721,240,001.24

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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.