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Finding the Third Proportional to 25,551,632,942 and 55,911,943,340

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Solution

The third proportional to 25,551,632,942 and 55,911,943,340 is: 122,346,208,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,551,632,942 : 55,911,943,340 = 55,911,943,340 : x
  2. Step 2: Convert to fraction form
    25,551,632,942/55,911,943,340 = 55,911,943,340/x
  3. Step 3: Cross multiply
    25,551,632,942x = 55,911,943,340 × 55,911,943,340
  4. Step 4: Simplify right side
    25,551,632,942x = 3,126,145,408,055,370,579,968
  5. Step 5: Solve for x
    x = 3,126,145,408,055,370,579,968/25,551,632,942
  6. Step 6: Final answer
    x = 122,346,208,367.64

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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.