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Finding the Third Proportional to 248,392,351,428 and 540,305,611,176

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Solution

The third proportional to 248,392,351,428 and 540,305,611,176 is: 1,175,278,352,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,392,351,428 : 540,305,611,176 = 540,305,611,176 : x
  2. Step 2: Convert to fraction form
    248,392,351,428/540,305,611,176 = 540,305,611,176/x
  3. Step 3: Cross multiply
    248,392,351,428x = 540,305,611,176 × 540,305,611,176
  4. Step 4: Simplify right side
    248,392,351,428x = 291,930,153,468,270,892,548,096
  5. Step 5: Solve for x
    x = 291,930,153,468,270,892,548,096/248,392,351,428
  6. Step 6: Final answer
    x = 1,175,278,352,131.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.