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Finding the Third Proportional to 7,388,076,204 and 11,449,483,962

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Solution

The third proportional to 7,388,076,204 and 11,449,483,962 is: 17,743,547,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388,076,204 : 11,449,483,962 = 11,449,483,962 : x
  2. Step 2: Convert to fraction form
    7,388,076,204/11,449,483,962 = 11,449,483,962/x
  3. Step 3: Cross multiply
    7,388,076,204x = 11,449,483,962 × 11,449,483,962
  4. Step 4: Simplify right side
    7,388,076,204x = 131,090,682,996,095,221,760
  5. Step 5: Solve for x
    x = 131,090,682,996,095,221,760/7,388,076,204
  6. Step 6: Final answer
    x = 17,743,547,762.15

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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.