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Finding the Third Proportional to 7,669,836,714 and 16,504,592,100

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Solution

The third proportional to 7,669,836,714 and 16,504,592,100 is: 35,515,953,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,836,714 : 16,504,592,100 = 16,504,592,100 : x
  2. Step 2: Convert to fraction form
    7,669,836,714/16,504,592,100 = 16,504,592,100/x
  3. Step 3: Cross multiply
    7,669,836,714x = 16,504,592,100 × 16,504,592,100
  4. Step 4: Simplify right side
    7,669,836,714x = 272,401,560,387,382,411,264
  5. Step 5: Solve for x
    x = 272,401,560,387,382,411,264/7,669,836,714
  6. Step 6: Final answer
    x = 35,515,953,017.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.