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Finding the Third Proportional to 4,347,271,057 and 9,548,576,001

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Solution

The third proportional to 4,347,271,057 and 9,548,576,001 is: 20,972,997,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347,271,057 : 9,548,576,001 = 9,548,576,001 : x
  2. Step 2: Convert to fraction form
    4,347,271,057/9,548,576,001 = 9,548,576,001/x
  3. Step 3: Cross multiply
    4,347,271,057x = 9,548,576,001 × 9,548,576,001
  4. Step 4: Simplify right side
    4,347,271,057x = 91,175,303,646,873,157,632
  5. Step 5: Solve for x
    x = 91,175,303,646,873,157,632/4,347,271,057
  6. Step 6: Final answer
    x = 20,972,997,186.38

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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.