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Finding the Third Proportional to 4,207,494.38 and 9,213,051.38

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Solution

The third proportional to 4,207,494.38 and 9,213,051.38 is: 20,173,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207,494.38 : 9,213,051.38 = 9,213,051.38 : x
  2. Step 2: Convert to fraction form
    4,207,494.38/9,213,051.38 = 9,213,051.38/x
  3. Step 3: Cross multiply
    4,207,494.38x = 9,213,051.38 × 9,213,051.38
  4. Step 4: Simplify right side
    4,207,494.38x = 84,880,315,638,389.39
  5. Step 5: Solve for x
    x = 84,880,315,638,389.39/4,207,494.38
  6. Step 6: Final answer
    x = 20,173,601.69

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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.