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Finding the Third Proportional to 9,405,830 and 13,745,813

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Solution

The third proportional to 9,405,830 and 13,745,813 is: 20,088,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405,830 : 13,745,813 = 13,745,813 : x
  2. Step 2: Convert to fraction form
    9,405,830/13,745,813 = 13,745,813/x
  3. Step 3: Cross multiply
    9,405,830x = 13,745,813 × 13,745,813
  4. Step 4: Simplify right side
    9,405,830x = 188,947,375,030,969
  5. Step 5: Solve for x
    x = 188,947,375,030,969/9,405,830
  6. Step 6: Final answer
    x = 20,088,325.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.