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Finding the Third Proportional to 10,847,529 and 16,411,261.50

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Solution

The third proportional to 10,847,529 and 16,411,261.50 is: 24,828,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847,529 : 16,411,261.50 = 16,411,261.50 : x
  2. Step 2: Convert to fraction form
    10,847,529/16,411,261.50 = 16,411,261.50/x
  3. Step 3: Cross multiply
    10,847,529x = 16,411,261.50 × 16,411,261.50
  4. Step 4: Simplify right side
    10,847,529x = 269,329,504,021,382.25
  5. Step 5: Solve for x
    x = 269,329,504,021,382.25/10,847,529
  6. Step 6: Final answer
    x = 24,828,650.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.