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Finding the Third Proportional to 9,592,963,874 and 21,391,660,996

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Solution

The third proportional to 9,592,963,874 and 21,391,660,996 is: 47,701,958,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592,963,874 : 21,391,660,996 = 21,391,660,996 : x
  2. Step 2: Convert to fraction form
    9,592,963,874/21,391,660,996 = 21,391,660,996/x
  3. Step 3: Cross multiply
    9,592,963,874x = 21,391,660,996 × 21,391,660,996
  4. Step 4: Simplify right side
    9,592,963,874x = 457,603,160,167,787,724,800
  5. Step 5: Solve for x
    x = 457,603,160,167,787,724,800/9,592,963,874
  6. Step 6: Final answer
    x = 47,701,958,036.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.