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Finding the Third Proportional to 8,209,701,872 and 17,924,245,384

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Solution

The third proportional to 8,209,701,872 and 17,924,245,384 is: 39,134,012,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209,701,872 : 17,924,245,384 = 17,924,245,384 : x
  2. Step 2: Convert to fraction form
    8,209,701,872/17,924,245,384 = 17,924,245,384/x
  3. Step 3: Cross multiply
    8,209,701,872x = 17,924,245,384 × 17,924,245,384
  4. Step 4: Simplify right side
    8,209,701,872x = 321,278,572,585,845,325,824
  5. Step 5: Solve for x
    x = 321,278,572,585,845,325,824/8,209,701,872
  6. Step 6: Final answer
    x = 39,134,012,123.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.