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Finding the Third Proportional to 5,851,328.63 and 7,764,093

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Solution

The third proportional to 5,851,328.63 and 7,764,093 is: 10,302,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851,328.63 : 7,764,093 = 7,764,093 : x
  2. Step 2: Convert to fraction form
    5,851,328.63/7,764,093 = 7,764,093/x
  3. Step 3: Cross multiply
    5,851,328.63x = 7,764,093 × 7,764,093
  4. Step 4: Simplify right side
    5,851,328.63x = 60,281,140,112,649
  5. Step 5: Solve for x
    x = 60,281,140,112,649/5,851,328.63
  6. Step 6: Final answer
    x = 10,302,128.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.