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Finding the Third Proportional to 35,511,953,942 and 77,275,442,194

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Solution

The third proportional to 35,511,953,942 and 77,275,442,194 is: 168,154,474,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,511,953,942 : 77,275,442,194 = 77,275,442,194 : x
  2. Step 2: Convert to fraction form
    35,511,953,942/77,275,442,194 = 77,275,442,194/x
  3. Step 3: Cross multiply
    35,511,953,942x = 77,275,442,194 × 77,275,442,194
  4. Step 4: Simplify right side
    35,511,953,942x = 5,971,493,966,278,235,783,168
  5. Step 5: Solve for x
    x = 5,971,493,966,278,235,783,168/35,511,953,942
  6. Step 6: Final answer
    x = 168,154,474,857.43

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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.