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Finding the Third Proportional to 917,006,198 and 2,014,160,734

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Solution

The third proportional to 917,006,198 and 2,014,160,734 is: 4,424,008,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,006,198 : 2,014,160,734 = 2,014,160,734 : x
  2. Step 2: Convert to fraction form
    917,006,198/2,014,160,734 = 2,014,160,734/x
  3. Step 3: Cross multiply
    917,006,198x = 2,014,160,734 × 2,014,160,734
  4. Step 4: Simplify right side
    917,006,198x = 4,056,843,462,387,418,624
  5. Step 5: Solve for x
    x = 4,056,843,462,387,418,624/917,006,198
  6. Step 6: Final answer
    x = 4,424,008,770.32

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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.