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Finding the Third Proportional to 911,107,567 and 1,360,690,942

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Solution

The third proportional to 911,107,567 and 1,360,690,942 is: 2,032,119,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,107,567 : 1,360,690,942 = 1,360,690,942 : x
  2. Step 2: Convert to fraction form
    911,107,567/1,360,690,942 = 1,360,690,942/x
  3. Step 3: Cross multiply
    911,107,567x = 1,360,690,942 × 1,360,690,942
  4. Step 4: Simplify right side
    911,107,567x = 1,851,479,839,640,847,360
  5. Step 5: Solve for x
    x = 1,851,479,839,640,847,360/911,107,567
  6. Step 6: Final answer
    x = 2,032,119,923.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.