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Finding the Third Proportional to 4,136,789,388 and 6,585,631,694

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Solution

The third proportional to 4,136,789,388 and 6,585,631,694 is: 10,484,107,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136,789,388 : 6,585,631,694 = 6,585,631,694 : x
  2. Step 2: Convert to fraction form
    4,136,789,388/6,585,631,694 = 6,585,631,694/x
  3. Step 3: Cross multiply
    4,136,789,388x = 6,585,631,694 × 6,585,631,694
  4. Step 4: Simplify right side
    4,136,789,388x = 43,370,544,809,017,311,232
  5. Step 5: Solve for x
    x = 43,370,544,809,017,311,232/4,136,789,388
  6. Step 6: Final answer
    x = 10,484,107,538.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.