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Finding the Third Proportional to 8,509,737 and 12,734,523

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Solution

The third proportional to 8,509,737 and 12,734,523 is: 19,056,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,737 : 12,734,523 = 12,734,523 : x
  2. Step 2: Convert to fraction form
    8,509,737/12,734,523 = 12,734,523/x
  3. Step 3: Cross multiply
    8,509,737x = 12,734,523 × 12,734,523
  4. Step 4: Simplify right side
    8,509,737x = 162,168,076,037,529
  5. Step 5: Solve for x
    x = 162,168,076,037,529/8,509,737
  6. Step 6: Final answer
    x = 19,056,767.09

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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.