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Finding the Third Proportional to 3,215,319,511 and 6,964,925,620

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Solution

The third proportional to 3,215,319,511 and 6,964,925,620 is: 15,087,206,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,319,511 : 6,964,925,620 = 6,964,925,620 : x
  2. Step 2: Convert to fraction form
    3,215,319,511/6,964,925,620 = 6,964,925,620/x
  3. Step 3: Cross multiply
    3,215,319,511x = 6,964,925,620 × 6,964,925,620
  4. Step 4: Simplify right side
    3,215,319,511x = 48,510,188,892,132,384,768
  5. Step 5: Solve for x
    x = 48,510,188,892,132,384,768/3,215,319,511
  6. Step 6: Final answer
    x = 15,087,206,333.98

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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.