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Finding the Third Proportional to 8,484,992,990 and 17,211,925,042

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Solution

The third proportional to 8,484,992,990 and 17,211,925,042 is: 34,914,626,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484,992,990 : 17,211,925,042 = 17,211,925,042 : x
  2. Step 2: Convert to fraction form
    8,484,992,990/17,211,925,042 = 17,211,925,042/x
  3. Step 3: Cross multiply
    8,484,992,990x = 17,211,925,042 × 17,211,925,042
  4. Step 4: Simplify right side
    8,484,992,990x = 296,250,363,651,426,680,832
  5. Step 5: Solve for x
    x = 296,250,363,651,426,680,832/8,484,992,990
  6. Step 6: Final answer
    x = 34,914,626,800.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.