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Finding the Third Proportional to 9,272,941 and 14,184,770

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Solution

The third proportional to 9,272,941 and 14,184,770 is: 21,698,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272,941 : 14,184,770 = 14,184,770 : x
  2. Step 2: Convert to fraction form
    9,272,941/14,184,770 = 14,184,770/x
  3. Step 3: Cross multiply
    9,272,941x = 14,184,770 × 14,184,770
  4. Step 4: Simplify right side
    9,272,941x = 201,207,699,952,900
  5. Step 5: Solve for x
    x = 201,207,699,952,900/9,272,941
  6. Step 6: Final answer
    x = 21,698,369.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.