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Finding the Third Proportional to 3,410,653,216 and 7,421,880,168

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Solution

The third proportional to 3,410,653,216 and 7,421,880,168 is: 16,150,661,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410,653,216 : 7,421,880,168 = 7,421,880,168 : x
  2. Step 2: Convert to fraction form
    3,410,653,216/7,421,880,168 = 7,421,880,168/x
  3. Step 3: Cross multiply
    3,410,653,216x = 7,421,880,168 × 7,421,880,168
  4. Step 4: Simplify right side
    3,410,653,216x = 55,084,305,228,151,709,696
  5. Step 5: Solve for x
    x = 55,084,305,228,151,709,696/3,410,653,216
  6. Step 6: Final answer
    x = 16,150,661,395.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.