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Finding the Third Proportional to 7,893,072 and 11,807,880

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Solution

The third proportional to 7,893,072 and 11,807,880 is: 17,664,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893,072 : 11,807,880 = 11,807,880 : x
  2. Step 2: Convert to fraction form
    7,893,072/11,807,880 = 11,807,880/x
  3. Step 3: Cross multiply
    7,893,072x = 11,807,880 × 11,807,880
  4. Step 4: Simplify right side
    7,893,072x = 139,426,030,094,400
  5. Step 5: Solve for x
    x = 139,426,030,094,400/7,893,072
  6. Step 6: Final answer
    x = 17,664,355.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.