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Finding the Third Proportional to 5,409,698 and 11,423,008

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Solution

The third proportional to 5,409,698 and 11,423,008 is: 24,120,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,698 : 11,423,008 = 11,423,008 : x
  2. Step 2: Convert to fraction form
    5,409,698/11,423,008 = 11,423,008/x
  3. Step 3: Cross multiply
    5,409,698x = 11,423,008 × 11,423,008
  4. Step 4: Simplify right side
    5,409,698x = 130,485,111,768,064
  5. Step 5: Solve for x
    x = 130,485,111,768,064/5,409,698
  6. Step 6: Final answer
    x = 24,120,590.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.