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Finding the Third Proportional to 10,355,408 and 16,209,176

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Solution

The third proportional to 10,355,408 and 16,209,176 is: 25,371,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355,408 : 16,209,176 = 16,209,176 : x
  2. Step 2: Convert to fraction form
    10,355,408/16,209,176 = 16,209,176/x
  3. Step 3: Cross multiply
    10,355,408x = 16,209,176 × 16,209,176
  4. Step 4: Simplify right side
    10,355,408x = 262,737,386,598,976
  5. Step 5: Solve for x
    x = 262,737,386,598,976/10,355,408
  6. Step 6: Final answer
    x = 25,371,997.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.