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Finding the Third Proportional to 6,886,684.50 and 10,294,041

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Solution

The third proportional to 6,886,684.50 and 10,294,041 is: 15,387,270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886,684.50 : 10,294,041 = 10,294,041 : x
  2. Step 2: Convert to fraction form
    6,886,684.50/10,294,041 = 10,294,041/x
  3. Step 3: Cross multiply
    6,886,684.50x = 10,294,041 × 10,294,041
  4. Step 4: Simplify right side
    6,886,684.50x = 105,967,280,109,681
  5. Step 5: Solve for x
    x = 105,967,280,109,681/6,886,684.50
  6. Step 6: Final answer
    x = 15,387,270.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.