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Finding the Third Proportional to 4,102,953.75 and 8,928,341.44

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Solution

The third proportional to 4,102,953.75 and 8,928,341.44 is: 19,428,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,953.75 : 8,928,341.44 = 8,928,341.44 : x
  2. Step 2: Convert to fraction form
    4,102,953.75/8,928,341.44 = 8,928,341.44/x
  3. Step 3: Cross multiply
    4,102,953.75x = 8,928,341.44 × 8,928,341.44
  4. Step 4: Simplify right side
    4,102,953.75x = 79,715,280,824,579.56
  5. Step 5: Solve for x
    x = 79,715,280,824,579.56/4,102,953.75
  6. Step 6: Final answer
    x = 19,428,754.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.