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Finding the Third Proportional to 7,735,097 and 16,392,237

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Solution

The third proportional to 7,735,097 and 16,392,237 is: 34,738,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735,097 : 16,392,237 = 16,392,237 : x
  2. Step 2: Convert to fraction form
    7,735,097/16,392,237 = 16,392,237/x
  3. Step 3: Cross multiply
    7,735,097x = 16,392,237 × 16,392,237
  4. Step 4: Simplify right side
    7,735,097x = 268,705,433,864,169
  5. Step 5: Solve for x
    x = 268,705,433,864,169/7,735,097
  6. Step 6: Final answer
    x = 34,738,469.84

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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.