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Finding the Third Proportional to 10,709,586 and 16,315,380

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Solution

The third proportional to 10,709,586 and 16,315,380 is: 24,855,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709,586 : 16,315,380 = 16,315,380 : x
  2. Step 2: Convert to fraction form
    10,709,586/16,315,380 = 16,315,380/x
  3. Step 3: Cross multiply
    10,709,586x = 16,315,380 × 16,315,380
  4. Step 4: Simplify right side
    10,709,586x = 266,191,624,544,400
  5. Step 5: Solve for x
    x = 266,191,624,544,400/10,709,586
  6. Step 6: Final answer
    x = 24,855,454.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.