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Finding the Third Proportional to 2,612,106,772 and 5,683,361,072

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Solution

The third proportional to 2,612,106,772 and 5,683,361,072 is: 12,365,724,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612,106,772 : 5,683,361,072 = 5,683,361,072 : x
  2. Step 2: Convert to fraction form
    2,612,106,772/5,683,361,072 = 5,683,361,072/x
  3. Step 3: Cross multiply
    2,612,106,772x = 5,683,361,072 × 5,683,361,072
  4. Step 4: Simplify right side
    2,612,106,772x = 32,300,593,074,724,990,976
  5. Step 5: Solve for x
    x = 32,300,593,074,724,990,976/2,612,106,772
  6. Step 6: Final answer
    x = 12,365,724,640.73

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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.