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Finding the Third Proportional to 5,833,314 and 9,129,915

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Solution

The third proportional to 5,833,314 and 9,129,915 is: 14,289,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833,314 : 9,129,915 = 9,129,915 : x
  2. Step 2: Convert to fraction form
    5,833,314/9,129,915 = 9,129,915/x
  3. Step 3: Cross multiply
    5,833,314x = 9,129,915 × 9,129,915
  4. Step 4: Simplify right side
    5,833,314x = 83,355,347,907,225
  5. Step 5: Solve for x
    x = 83,355,347,907,225/5,833,314
  6. Step 6: Final answer
    x = 14,289,535.57

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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.