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Finding the Third Proportional to 4,819,954,660 and 7,448,059,014

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Solution

The third proportional to 4,819,954,660 and 7,448,059,014 is: 11,509,150,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819,954,660 : 7,448,059,014 = 7,448,059,014 : x
  2. Step 2: Convert to fraction form
    4,819,954,660/7,448,059,014 = 7,448,059,014/x
  3. Step 3: Cross multiply
    4,819,954,660x = 7,448,059,014 × 7,448,059,014
  4. Step 4: Simplify right side
    4,819,954,660x = 55,473,583,076,026,654,720
  5. Step 5: Solve for x
    x = 55,473,583,076,026,654,720/4,819,954,660
  6. Step 6: Final answer
    x = 11,509,150,394.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.