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Finding the Third Proportional to 4,347,271,068 and 9,548,576,023

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Solution

The third proportional to 4,347,271,068 and 9,548,576,023 is: 20,972,997,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347,271,068 : 9,548,576,023 = 9,548,576,023 : x
  2. Step 2: Convert to fraction form
    4,347,271,068/9,548,576,023 = 9,548,576,023/x
  3. Step 3: Cross multiply
    4,347,271,068x = 9,548,576,023 × 9,548,576,023
  4. Step 4: Simplify right side
    4,347,271,068x = 91,175,304,067,010,494,464
  5. Step 5: Solve for x
    x = 91,175,304,067,010,494,464/4,347,271,068
  6. Step 6: Final answer
    x = 20,972,997,229.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.