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Finding the Third Proportional to 4,097,661,218 and 8,816,808,220

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Solution

The third proportional to 4,097,661,218 and 8,816,808,220 is: 18,970,847,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,661,218 : 8,816,808,220 = 8,816,808,220 : x
  2. Step 2: Convert to fraction form
    4,097,661,218/8,816,808,220 = 8,816,808,220/x
  3. Step 3: Cross multiply
    4,097,661,218x = 8,816,808,220 × 8,816,808,220
  4. Step 4: Simplify right side
    4,097,661,218x = 77,736,107,188,259,569,664
  5. Step 5: Solve for x
    x = 77,736,107,188,259,569,664/4,097,661,218
  6. Step 6: Final answer
    x = 18,970,847,772.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.