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Finding the Third Proportional to 358,944,021,464 and 775,199,159,768

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Solution

The third proportional to 358,944,021,464 and 775,199,159,768 is: 1,674,171,183,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,944,021,464 : 775,199,159,768 = 775,199,159,768 : x
  2. Step 2: Convert to fraction form
    358,944,021,464/775,199,159,768 = 775,199,159,768/x
  3. Step 3: Cross multiply
    358,944,021,464x = 775,199,159,768 × 775,199,159,768
  4. Step 4: Simplify right side
    358,944,021,464x = 600,933,737,305,013,177,286,656
  5. Step 5: Solve for x
    x = 600,933,737,305,013,177,286,656/358,944,021,464
  6. Step 6: Final answer
    x = 1,674,171,183,723.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.