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Finding the Third Proportional to 271,762,743,286 and 591,238,912,694.50

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Solution

The third proportional to 271,762,743,286 and 591,238,912,694.50 is: 1,286,281,731,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,762,743,286 : 591,238,912,694.50 = 591,238,912,694.50 : x
  2. Step 2: Convert to fraction form
    271,762,743,286/591,238,912,694.50 = 591,238,912,694.50/x
  3. Step 3: Cross multiply
    271,762,743,286x = 591,238,912,694.50 × 591,238,912,694.50
  4. Step 4: Simplify right side
    271,762,743,286x = 349,563,451,884,174,605,025,280
  5. Step 5: Solve for x
    x = 349,563,451,884,174,605,025,280/271,762,743,286
  6. Step 6: Final answer
    x = 1,286,281,731,106.53

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Why These Related Problems?

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