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Finding the Third Proportional to 7,336,071 and 16,089,309

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Solution

The third proportional to 7,336,071 and 16,089,309 is: 35,286,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,336,071 : 16,089,309 = 16,089,309 : x
  2. Step 2: Convert to fraction form
    7,336,071/16,089,309 = 16,089,309/x
  3. Step 3: Cross multiply
    7,336,071x = 16,089,309 × 16,089,309
  4. Step 4: Simplify right side
    7,336,071x = 258,865,864,097,481
  5. Step 5: Solve for x
    x = 258,865,864,097,481/7,336,071
  6. Step 6: Final answer
    x = 35,286,717.39

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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.