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Finding the Third Proportional to 7,773,095,800 and 16,784,782,904

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Solution

The third proportional to 7,773,095,800 and 16,784,782,904 is: 36,244,109,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773,095,800 : 16,784,782,904 = 16,784,782,904 : x
  2. Step 2: Convert to fraction form
    7,773,095,800/16,784,782,904 = 16,784,782,904/x
  3. Step 3: Cross multiply
    7,773,095,800x = 16,784,782,904 × 16,784,782,904
  4. Step 4: Simplify right side
    7,773,095,800x = 281,728,937,134,410,661,888
  5. Step 5: Solve for x
    x = 281,728,937,134,410,661,888/7,773,095,800
  6. Step 6: Final answer
    x = 36,244,109,732.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.