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Finding the Third Proportional to 4,022,352,153 and 6,277,936,065

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Solution

The third proportional to 4,022,352,153 and 6,277,936,065 is: 9,798,366,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022,352,153 : 6,277,936,065 = 6,277,936,065 : x
  2. Step 2: Convert to fraction form
    4,022,352,153/6,277,936,065 = 6,277,936,065/x
  3. Step 3: Cross multiply
    4,022,352,153x = 6,277,936,065 × 6,277,936,065
  4. Step 4: Simplify right side
    4,022,352,153x = 39,412,481,236,227,686,400
  5. Step 5: Solve for x
    x = 39,412,481,236,227,686,400/4,022,352,153
  6. Step 6: Final answer
    x = 9,798,366,661.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.