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Finding the Third Proportional to 271,762,743,281.30 and 591,238,912,685.60

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Solution

The third proportional to 271,762,743,281.30 and 591,238,912,685.60 is: 1,286,281,731,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,762,743,281.30 : 591,238,912,685.60 = 591,238,912,685.60 : x
  2. Step 2: Convert to fraction form
    271,762,743,281.30/591,238,912,685.60 = 591,238,912,685.60/x
  3. Step 3: Cross multiply
    271,762,743,281.30x = 591,238,912,685.60 × 591,238,912,685.60
  4. Step 4: Simplify right side
    271,762,743,281.30x = 349,563,451,873,650,525,863,936
  5. Step 5: Solve for x
    x = 349,563,451,873,650,525,863,936/271,762,743,281.30
  6. Step 6: Final answer
    x = 1,286,281,731,090.05

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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.