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Finding the Third Proportional to 353,867,986,922 and 779,865,538,204

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Solution

The third proportional to 353,867,986,922 and 779,865,538,204 is: 1,718,692,507,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,867,986,922 : 779,865,538,204 = 779,865,538,204 : x
  2. Step 2: Convert to fraction form
    353,867,986,922/779,865,538,204 = 779,865,538,204/x
  3. Step 3: Cross multiply
    353,867,986,922x = 779,865,538,204 × 779,865,538,204
  4. Step 4: Simplify right side
    353,867,986,922x = 608,190,257,678,214,603,210,752
  5. Step 5: Solve for x
    x = 608,190,257,678,214,603,210,752/353,867,986,922
  6. Step 6: Final answer
    x = 1,718,692,507,249.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.