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Finding the Third Proportional to 5,682,004 and 12,426,896

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Solution

The third proportional to 5,682,004 and 12,426,896 is: 27,178,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682,004 : 12,426,896 = 12,426,896 : x
  2. Step 2: Convert to fraction form
    5,682,004/12,426,896 = 12,426,896/x
  3. Step 3: Cross multiply
    5,682,004x = 12,426,896 × 12,426,896
  4. Step 4: Simplify right side
    5,682,004x = 154,427,744,194,816
  5. Step 5: Solve for x
    x = 154,427,744,194,816/5,682,004
  6. Step 6: Final answer
    x = 27,178,394.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.