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Finding the Third Proportional to 5,139,167,798 and 11,257,604,212

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Solution

The third proportional to 5,139,167,798 and 11,257,604,212 is: 24,660,345,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139,167,798 : 11,257,604,212 = 11,257,604,212 : x
  2. Step 2: Convert to fraction form
    5,139,167,798/11,257,604,212 = 11,257,604,212/x
  3. Step 3: Cross multiply
    5,139,167,798x = 11,257,604,212 × 11,257,604,212
  4. Step 4: Simplify right side
    5,139,167,798x = 126,733,652,594,040,143,872
  5. Step 5: Solve for x
    x = 126,733,652,594,040,143,872/5,139,167,798
  6. Step 6: Final answer
    x = 24,660,345,327.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.