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Finding the Third Proportional to 13,388,142,168 and 29,186,903,304

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Solution

The third proportional to 13,388,142,168 and 29,186,903,304 is: 63,629,091,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388,142,168 : 29,186,903,304 = 29,186,903,304 : x
  2. Step 2: Convert to fraction form
    13,388,142,168/29,186,903,304 = 29,186,903,304/x
  3. Step 3: Cross multiply
    13,388,142,168x = 29,186,903,304 × 29,186,903,304
  4. Step 4: Simplify right side
    13,388,142,168x = 851,875,324,477,046,128,640
  5. Step 5: Solve for x
    x = 851,875,324,477,046,128,640/13,388,142,168
  6. Step 6: Final answer
    x = 63,629,091,608.63

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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.