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Finding the Third Proportional to 5,429,647 and 11,235,139

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Solution

The third proportional to 5,429,647 and 11,235,139 is: 23,247,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429,647 : 11,235,139 = 11,235,139 : x
  2. Step 2: Convert to fraction form
    5,429,647/11,235,139 = 11,235,139/x
  3. Step 3: Cross multiply
    5,429,647x = 11,235,139 × 11,235,139
  4. Step 4: Simplify right side
    5,429,647x = 126,228,348,349,321
  5. Step 5: Solve for x
    x = 126,228,348,349,321/5,429,647
  6. Step 6: Final answer
    x = 23,247,984.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.