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Finding the Third Proportional to 911,107,686 and 1,360,691,112

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Solution

The third proportional to 911,107,686 and 1,360,691,112 is: 2,032,120,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,107,686 : 1,360,691,112 = 1,360,691,112 : x
  2. Step 2: Convert to fraction form
    911,107,686/1,360,691,112 = 1,360,691,112/x
  3. Step 3: Cross multiply
    911,107,686x = 1,360,691,112 × 1,360,691,112
  4. Step 4: Simplify right side
    911,107,686x = 1,851,480,302,275,796,480
  5. Step 5: Solve for x
    x = 1,851,480,302,275,796,480/911,107,686
  6. Step 6: Final answer
    x = 2,032,120,166.17

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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.