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Finding the Third Proportional to 7,838,409 and 15,991,749

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Solution

The third proportional to 7,838,409 and 15,991,749 is: 32,626,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838,409 : 15,991,749 = 15,991,749 : x
  2. Step 2: Convert to fraction form
    7,838,409/15,991,749 = 15,991,749/x
  3. Step 3: Cross multiply
    7,838,409x = 15,991,749 × 15,991,749
  4. Step 4: Simplify right side
    7,838,409x = 255,736,036,079,001
  5. Step 5: Solve for x
    x = 255,736,036,079,001/7,838,409
  6. Step 6: Final answer
    x = 32,626,013.27

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.