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Finding the Third Proportional to 26,166,182,362 and 57,068,168,353

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Solution

The third proportional to 26,166,182,362 and 57,068,168,353 is: 124,465,074,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,166,182,362 : 57,068,168,353 = 57,068,168,353 : x
  2. Step 2: Convert to fraction form
    26,166,182,362/57,068,168,353 = 57,068,168,353/x
  3. Step 3: Cross multiply
    26,166,182,362x = 57,068,168,353 × 57,068,168,353
  4. Step 4: Simplify right side
    26,166,182,362x = 3,256,775,839,166,350,491,648
  5. Step 5: Solve for x
    x = 3,256,775,839,166,350,491,648/26,166,182,362
  6. Step 6: Final answer
    x = 124,465,074,580.24

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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.