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Finding the Third Proportional to 3,215,319,612 and 6,964,925,844

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Solution

The third proportional to 3,215,319,612 and 6,964,925,844 is: 15,087,206,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,319,612 : 6,964,925,844 = 6,964,925,844 : x
  2. Step 2: Convert to fraction form
    3,215,319,612/6,964,925,844 = 6,964,925,844/x
  3. Step 3: Cross multiply
    3,215,319,612x = 6,964,925,844 × 6,964,925,844
  4. Step 4: Simplify right side
    3,215,319,612x = 48,510,192,012,419,112,960
  5. Step 5: Solve for x
    x = 48,510,192,012,419,112,960/3,215,319,612
  6. Step 6: Final answer
    x = 15,087,206,830.50

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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.