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Finding the Third Proportional to 7,907,628 and 17,265,237

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Solution

The third proportional to 7,907,628 and 17,265,237 is: 37,696,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907,628 : 17,265,237 = 17,265,237 : x
  2. Step 2: Convert to fraction form
    7,907,628/17,265,237 = 17,265,237/x
  3. Step 3: Cross multiply
    7,907,628x = 17,265,237 × 17,265,237
  4. Step 4: Simplify right side
    7,907,628x = 298,088,408,666,169
  5. Step 5: Solve for x
    x = 298,088,408,666,169/7,907,628
  6. Step 6: Final answer
    x = 37,696,311.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.