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Finding the Third Proportional to 8,209,701,705 and 17,924,244,981

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Solution

The third proportional to 8,209,701,705 and 17,924,244,981 is: 39,134,011,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209,701,705 : 17,924,244,981 = 17,924,244,981 : x
  2. Step 2: Convert to fraction form
    8,209,701,705/17,924,244,981 = 17,924,244,981/x
  3. Step 3: Cross multiply
    8,209,701,705x = 17,924,244,981 × 17,924,244,981
  4. Step 4: Simplify right side
    8,209,701,705x = 321,278,558,138,903,691,264
  5. Step 5: Solve for x
    x = 321,278,558,138,903,691,264/8,209,701,705
  6. Step 6: Final answer
    x = 39,134,011,159.41

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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.