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Finding the Third Proportional to 3,215,319,609 and 6,964,925,838

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Solution

The third proportional to 3,215,319,609 and 6,964,925,838 is: 15,087,206,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,319,609 : 6,964,925,838 = 6,964,925,838 : x
  2. Step 2: Convert to fraction form
    3,215,319,609/6,964,925,838 = 6,964,925,838/x
  3. Step 3: Cross multiply
    3,215,319,609x = 6,964,925,838 × 6,964,925,838
  4. Step 4: Simplify right side
    3,215,319,609x = 48,510,191,928,840,003,584
  5. Step 5: Solve for x
    x = 48,510,191,928,840,003,584/3,215,319,609
  6. Step 6: Final answer
    x = 15,087,206,818.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.