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Finding the Third Proportional to 50,483,064,340 and 107,968,862,072

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Solution

The third proportional to 50,483,064,340 and 107,968,862,072 is: 230,914,571,639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,483,064,340 : 107,968,862,072 = 107,968,862,072 : x
  2. Step 2: Convert to fraction form
    50,483,064,340/107,968,862,072 = 107,968,862,072/x
  3. Step 3: Cross multiply
    50,483,064,340x = 107,968,862,072 × 107,968,862,072
  4. Step 4: Simplify right side
    50,483,064,340x = 11,657,275,177,122,559,688,704
  5. Step 5: Solve for x
    x = 11,657,275,177,122,559,688,704/50,483,064,340
  6. Step 6: Final answer
    x = 230,914,571,639.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.