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Finding the Third Proportional to 2,938,628,744 and 6,393,795,784

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Solution

The third proportional to 2,938,628,744 and 6,393,795,784 is: 13,911,462,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,628,744 : 6,393,795,784 = 6,393,795,784 : x
  2. Step 2: Convert to fraction form
    2,938,628,744/6,393,795,784 = 6,393,795,784/x
  3. Step 3: Cross multiply
    2,938,628,744x = 6,393,795,784 × 6,393,795,784
  4. Step 4: Simplify right side
    2,938,628,744x = 40,880,624,527,496,175,616
  5. Step 5: Solve for x
    x = 40,880,624,527,496,175,616/2,938,628,744
  6. Step 6: Final answer
    x = 13,911,462,824.61

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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.