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Finding the Third Proportional to 7,735,122 and 16,392,287.25

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Solution

The third proportional to 7,735,122 and 16,392,287.25 is: 34,738,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735,122 : 16,392,287.25 = 16,392,287.25 : x
  2. Step 2: Convert to fraction form
    7,735,122/16,392,287.25 = 16,392,287.25/x
  3. Step 3: Cross multiply
    7,735,122x = 16,392,287.25 × 16,392,287.25
  4. Step 4: Simplify right side
    7,735,122x = 268,707,081,286,512.56
  5. Step 5: Solve for x
    x = 268,707,081,286,512.56/7,735,122
  6. Step 6: Final answer
    x = 34,738,570.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.