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Finding the Third Proportional to 25,549,262,838 and 55,914,936,108

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Solution

The third proportional to 25,549,262,838 and 55,914,936,108 is: 122,370,657,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,549,262,838 : 55,914,936,108 = 55,914,936,108 : x
  2. Step 2: Convert to fraction form
    25,549,262,838/55,914,936,108 = 55,914,936,108/x
  3. Step 3: Cross multiply
    25,549,262,838x = 55,914,936,108 × 55,914,936,108
  4. Step 4: Simplify right side
    25,549,262,838x = 3,126,480,079,961,721,929,728
  5. Step 5: Solve for x
    x = 3,126,480,079,961,721,929,728/25,549,262,838
  6. Step 6: Final answer
    x = 122,370,657,023.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.