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Finding the Third Proportional to 4,530,911.63 and 6,862,174.88

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Solution

The third proportional to 4,530,911.63 and 6,862,174.88 is: 10,392,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530,911.63 : 6,862,174.88 = 6,862,174.88 : x
  2. Step 2: Convert to fraction form
    4,530,911.63/6,862,174.88 = 6,862,174.88/x
  3. Step 3: Cross multiply
    4,530,911.63x = 6,862,174.88 × 6,862,174.88
  4. Step 4: Simplify right side
    4,530,911.63x = 47,089,444,015,081.27
  5. Step 5: Solve for x
    x = 47,089,444,015,081.27/4,530,911.63
  6. Step 6: Final answer
    x = 10,392,929.26

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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.