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Finding the Third Proportional to 471,939,059.39 and 656,193,538.86

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Solution

The third proportional to 471,939,059.39 and 656,193,538.86 is: 912,384,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,939,059.39 : 656,193,538.86 = 656,193,538.86 : x
  2. Step 2: Convert to fraction form
    471,939,059.39/656,193,538.86 = 656,193,538.86/x
  3. Step 3: Cross multiply
    471,939,059.39x = 656,193,538.86 × 656,193,538.86
  4. Step 4: Simplify right side
    471,939,059.39x = 430,589,960,445,941,184
  5. Step 5: Solve for x
    x = 430,589,960,445,941,184/471,939,059.39
  6. Step 6: Final answer
    x = 912,384,664.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.