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Finding the Third Proportional to 35,511,953,940 and 77,275,442,189.25

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Solution

The third proportional to 35,511,953,940 and 77,275,442,189.25 is: 168,154,474,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,511,953,940 : 77,275,442,189.25 = 77,275,442,189.25 : x
  2. Step 2: Convert to fraction form
    35,511,953,940/77,275,442,189.25 = 77,275,442,189.25/x
  3. Step 3: Cross multiply
    35,511,953,940x = 77,275,442,189.25 × 77,275,442,189.25
  4. Step 4: Simplify right side
    35,511,953,940x = 5,971,493,965,544,119,336,960
  5. Step 5: Solve for x
    x = 5,971,493,965,544,119,336,960/35,511,953,940
  6. Step 6: Final answer
    x = 168,154,474,846.23

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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.