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Finding the Third Proportional to 271,762,743,300.75 and 591,238,912,722.75

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Solution

The third proportional to 271,762,743,300.75 and 591,238,912,722.75 is: 1,286,281,731,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,762,743,300.75 : 591,238,912,722.75 = 591,238,912,722.75 : x
  2. Step 2: Convert to fraction form
    271,762,743,300.75/591,238,912,722.75 = 591,238,912,722.75/x
  3. Step 3: Cross multiply
    271,762,743,300.75x = 591,238,912,722.75 × 591,238,912,722.75
  4. Step 4: Simplify right side
    271,762,743,300.75x = 349,563,451,917,579,585,585,152
  5. Step 5: Solve for x
    x = 349,563,451,917,579,585,585,152/271,762,743,300.75
  6. Step 6: Final answer
    x = 1,286,281,731,159.63

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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.