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Finding the Third Proportional to 6,958,754,880,576 and 14,115,930,034,375

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Solution

The third proportional to 6,958,754,880,576 and 14,115,930,034,375 is: 28,634,358,323,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958,754,880,576 : 14,115,930,034,375 = 14,115,930,034,375 : x
  2. Step 2: Convert to fraction form
    6,958,754,880,576/14,115,930,034,375 = 14,115,930,034,375/x
  3. Step 3: Cross multiply
    6,958,754,880,576x = 14,115,930,034,375 × 14,115,930,034,375
  4. Step 4: Simplify right side
    6,958,754,880,576x = 199,259,480,735,370,203,291,975,680
  5. Step 5: Solve for x
    x = 199,259,480,735,370,203,291,975,680/6,958,754,880,576
  6. Step 6: Final answer
    x = 28,634,358,323,435.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.