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Finding the Third Proportional to 8,085,280 and 11,826,961

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Solution

The third proportional to 8,085,280 and 11,826,961 is: 17,300,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085,280 : 11,826,961 = 11,826,961 : x
  2. Step 2: Convert to fraction form
    8,085,280/11,826,961 = 11,826,961/x
  3. Step 3: Cross multiply
    8,085,280x = 11,826,961 × 11,826,961
  4. Step 4: Simplify right side
    8,085,280x = 139,877,006,495,521
  5. Step 5: Solve for x
    x = 139,877,006,495,521/8,085,280
  6. Step 6: Final answer
    x = 17,300,205.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.