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Finding the Third Proportional to 9,846,944 and 14,450,916

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Solution

The third proportional to 9,846,944 and 14,450,916 is: 21,207,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846,944 : 14,450,916 = 14,450,916 : x
  2. Step 2: Convert to fraction form
    9,846,944/14,450,916 = 14,450,916/x
  3. Step 3: Cross multiply
    9,846,944x = 14,450,916 × 14,450,916
  4. Step 4: Simplify right side
    9,846,944x = 208,828,973,239,056
  5. Step 5: Solve for x
    x = 208,828,973,239,056/9,846,944
  6. Step 6: Final answer
    x = 21,207,490.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.