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Finding the Third Proportional to 2,902,162,387 and 5,926,137,756

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Solution

The third proportional to 2,902,162,387 and 5,926,137,756 is: 12,101,014,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902,162,387 : 5,926,137,756 = 5,926,137,756 : x
  2. Step 2: Convert to fraction form
    2,902,162,387/5,926,137,756 = 5,926,137,756/x
  3. Step 3: Cross multiply
    2,902,162,387x = 5,926,137,756 × 5,926,137,756
  4. Step 4: Simplify right side
    2,902,162,387x = 35,119,108,703,088,713,728
  5. Step 5: Solve for x
    x = 35,119,108,703,088,713,728/2,902,162,387
  6. Step 6: Final answer
    x = 12,101,014,354.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.