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Finding the Third Proportional to 3,410,653,212 and 7,421,880,160

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Solution

The third proportional to 3,410,653,212 and 7,421,880,160 is: 16,150,661,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410,653,212 : 7,421,880,160 = 7,421,880,160 : x
  2. Step 2: Convert to fraction form
    3,410,653,212/7,421,880,160 = 7,421,880,160/x
  3. Step 3: Cross multiply
    3,410,653,212x = 7,421,880,160 × 7,421,880,160
  4. Step 4: Simplify right side
    3,410,653,212x = 55,084,305,109,401,624,576
  5. Step 5: Solve for x
    x = 55,084,305,109,401,624,576/3,410,653,212
  6. Step 6: Final answer
    x = 16,150,661,379.35

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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.