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Finding the Third Proportional to 4,685,586.75 and 7,078,305.23

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Solution

The third proportional to 4,685,586.75 and 7,078,305.23 is: 10,692,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685,586.75 : 7,078,305.23 = 7,078,305.23 : x
  2. Step 2: Convert to fraction form
    4,685,586.75/7,078,305.23 = 7,078,305.23/x
  3. Step 3: Cross multiply
    4,685,586.75x = 7,078,305.23 × 7,078,305.23
  4. Step 4: Simplify right side
    4,685,586.75x = 50,102,404,990,980.52
  5. Step 5: Solve for x
    x = 50,102,404,990,980.52/4,685,586.75
  6. Step 6: Final answer
    x = 10,692,877.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.