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Finding the Third Proportional to 389,444,650,658.22 and 845,930,005,568.72

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Solution

The third proportional to 389,444,650,658.22 and 845,930,005,568.72 is: 1,837,482,099,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,444,650,658.22 : 845,930,005,568.72 = 845,930,005,568.72 : x
  2. Step 2: Convert to fraction form
    389,444,650,658.22/845,930,005,568.72 = 845,930,005,568.72/x
  3. Step 3: Cross multiply
    389,444,650,658.22x = 845,930,005,568.72 × 845,930,005,568.72
  4. Step 4: Simplify right side
    389,444,650,658.22x = 715,597,574,321,494,640,558,080
  5. Step 5: Solve for x
    x = 715,597,574,321,494,640,558,080/389,444,650,658.22
  6. Step 6: Final answer
    x = 1,837,482,099,476.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.