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Finding the Third Proportional to 9,256,109,188 and 14,100,725,986

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Solution

The third proportional to 9,256,109,188 and 14,100,725,986 is: 21,480,999,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256,109,188 : 14,100,725,986 = 14,100,725,986 : x
  2. Step 2: Convert to fraction form
    9,256,109,188/14,100,725,986 = 14,100,725,986/x
  3. Step 3: Cross multiply
    9,256,109,188x = 14,100,725,986 × 14,100,725,986
  4. Step 4: Simplify right side
    9,256,109,188x = 198,830,473,332,255,686,656
  5. Step 5: Solve for x
    x = 198,830,473,332,255,686,656/9,256,109,188
  6. Step 6: Final answer
    x = 21,480,999,121.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.