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Finding the Third Proportional to 9,014,502 and 13,967,071

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Solution

The third proportional to 9,014,502 and 13,967,071 is: 21,640,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014,502 : 13,967,071 = 13,967,071 : x
  2. Step 2: Convert to fraction form
    9,014,502/13,967,071 = 13,967,071/x
  3. Step 3: Cross multiply
    9,014,502x = 13,967,071 × 13,967,071
  4. Step 4: Simplify right side
    9,014,502x = 195,079,072,319,041
  5. Step 5: Solve for x
    x = 195,079,072,319,041/9,014,502
  6. Step 6: Final answer
    x = 21,640,582.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.