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Finding the Third Proportional to 3,488,538,576 and 5,362,133,902

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Solution

The third proportional to 3,488,538,576 and 5,362,133,902 is: 8,241,984,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488,538,576 : 5,362,133,902 = 5,362,133,902 : x
  2. Step 2: Convert to fraction form
    3,488,538,576/5,362,133,902 = 5,362,133,902/x
  3. Step 3: Cross multiply
    3,488,538,576x = 5,362,133,902 × 5,362,133,902
  4. Step 4: Simplify right side
    3,488,538,576x = 28,752,479,982,977,744,896
  5. Step 5: Solve for x
    x = 28,752,479,982,977,744,896/3,488,538,576
  6. Step 6: Final answer
    x = 8,241,984,245.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.