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Finding the Third Proportional to 9,691,015,809 and 21,035,975,634

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Solution

The third proportional to 9,691,015,809 and 21,035,975,634 is: 45,662,114,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,015,809 : 21,035,975,634 = 21,035,975,634 : x
  2. Step 2: Convert to fraction form
    9,691,015,809/21,035,975,634 = 21,035,975,634/x
  3. Step 3: Cross multiply
    9,691,015,809x = 21,035,975,634 × 21,035,975,634
  4. Step 4: Simplify right side
    9,691,015,809x = 442,512,270,874,241,728,512
  5. Step 5: Solve for x
    x = 442,512,270,874,241,728,512/9,691,015,809
  6. Step 6: Final answer
    x = 45,662,114,229.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.