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Finding the Third Proportional to 4,097,661,216 and 8,816,808,216

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Solution

The third proportional to 4,097,661,216 and 8,816,808,216 is: 18,970,847,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,661,216 : 8,816,808,216 = 8,816,808,216 : x
  2. Step 2: Convert to fraction form
    4,097,661,216/8,816,808,216 = 8,816,808,216/x
  3. Step 3: Cross multiply
    4,097,661,216x = 8,816,808,216 × 8,816,808,216
  4. Step 4: Simplify right side
    4,097,661,216x = 77,736,107,117,725,106,176
  5. Step 5: Solve for x
    x = 77,736,107,117,725,106,176/4,097,661,216
  6. Step 6: Final answer
    x = 18,970,847,764.13

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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.