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Finding the Third Proportional to 2,425,583.81 and 4,922,442.56

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Solution

The third proportional to 2,425,583.81 and 4,922,442.56 is: 9,989,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,583.81 : 4,922,442.56 = 4,922,442.56 : x
  2. Step 2: Convert to fraction form
    2,425,583.81/4,922,442.56 = 4,922,442.56/x
  3. Step 3: Cross multiply
    2,425,583.81x = 4,922,442.56 × 4,922,442.56
  4. Step 4: Simplify right side
    2,425,583.81x = 24,230,440,781,111.57
  5. Step 5: Solve for x
    x = 24,230,440,781,111.57/2,425,583.81
  6. Step 6: Final answer
    x = 9,989,529.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.