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Finding the Third Proportional to 11,601,014,777 and 17,734,480,340

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Solution

The third proportional to 11,601,014,777 and 17,734,480,340 is: 27,110,713,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601,014,777 : 17,734,480,340 = 17,734,480,340 : x
  2. Step 2: Convert to fraction form
    11,601,014,777/17,734,480,340 = 17,734,480,340/x
  3. Step 3: Cross multiply
    11,601,014,777x = 17,734,480,340 × 17,734,480,340
  4. Step 4: Simplify right side
    11,601,014,777x = 314,511,792,929,846,525,952
  5. Step 5: Solve for x
    x = 314,511,792,929,846,525,952/11,601,014,777
  6. Step 6: Final answer
    x = 27,110,713,931.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.