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Finding the Third Proportional to 5,740,925 and 8,889,224

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Solution

The third proportional to 5,740,925 and 8,889,224 is: 13,764,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,925 : 8,889,224 = 8,889,224 : x
  2. Step 2: Convert to fraction form
    5,740,925/8,889,224 = 8,889,224/x
  3. Step 3: Cross multiply
    5,740,925x = 8,889,224 × 8,889,224
  4. Step 4: Simplify right side
    5,740,925x = 79,018,303,322,176
  5. Step 5: Solve for x
    x = 79,018,303,322,176/5,740,925
  6. Step 6: Final answer
    x = 13,764,036.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.