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Finding the Third Proportional to 970,647,359,312 and 2,110,241,079,880

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Solution

The third proportional to 970,647,359,312 and 2,110,241,079,880 is: 4,587,780,899,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,647,359,312 : 2,110,241,079,880 = 2,110,241,079,880 : x
  2. Step 2: Convert to fraction form
    970,647,359,312/2,110,241,079,880 = 2,110,241,079,880/x
  3. Step 3: Cross multiply
    970,647,359,312x = 2,110,241,079,880 × 2,110,241,079,880
  4. Step 4: Simplify right side
    970,647,359,312x = 4,453,117,415,213,108,431,945,728
  5. Step 5: Solve for x
    x = 4,453,117,415,213,108,431,945,728/970,647,359,312
  6. Step 6: Final answer
    x = 4,587,780,899,511.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.