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Finding the Third Proportional to 9,211,323 and 14,448,071

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Solution

The third proportional to 9,211,323 and 14,448,071 is: 22,661,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211,323 : 14,448,071 = 14,448,071 : x
  2. Step 2: Convert to fraction form
    9,211,323/14,448,071 = 14,448,071/x
  3. Step 3: Cross multiply
    9,211,323x = 14,448,071 × 14,448,071
  4. Step 4: Simplify right side
    9,211,323x = 208,746,755,621,041
  5. Step 5: Solve for x
    x = 208,746,755,621,041/9,211,323
  6. Step 6: Final answer
    x = 22,661,973.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.