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Finding the Third Proportional to 193,627,734,953.62 and 414,455,564,379.75

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Solution

The third proportional to 193,627,734,953.62 and 414,455,564,379.75 is: 887,132,284,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,627,734,953.62 : 414,455,564,379.75 = 414,455,564,379.75 : x
  2. Step 2: Convert to fraction form
    193,627,734,953.62/414,455,564,379.75 = 414,455,564,379.75/x
  3. Step 3: Cross multiply
    193,627,734,953.62x = 414,455,564,379.75 × 414,455,564,379.75
  4. Step 4: Simplify right side
    193,627,734,953.62x = 171,773,414,845,337,093,275,648
  5. Step 5: Solve for x
    x = 171,773,414,845,337,093,275,648/193,627,734,953.62
  6. Step 6: Final answer
    x = 887,132,284,465.77

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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.