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Finding the Third Proportional to 14,189,913 and 31,126,779

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Solution

The third proportional to 14,189,913 and 31,126,779 is: 68,279,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189,913 : 31,126,779 = 31,126,779 : x
  2. Step 2: Convert to fraction form
    14,189,913/31,126,779 = 31,126,779/x
  3. Step 3: Cross multiply
    14,189,913x = 31,126,779 × 31,126,779
  4. Step 4: Simplify right side
    14,189,913x = 968,876,370,914,841
  5. Step 5: Solve for x
    x = 968,876,370,914,841/14,189,913
  6. Step 6: Final answer
    x = 68,279,232.64

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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.