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Finding the Third Proportional to 219,826,660,777 and 476,155,793,034

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Solution

The third proportional to 219,826,660,777 and 476,155,793,034 is: 1,031,377,806,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,826,660,777 : 476,155,793,034 = 476,155,793,034 : x
  2. Step 2: Convert to fraction form
    219,826,660,777/476,155,793,034 = 476,155,793,034/x
  3. Step 3: Cross multiply
    219,826,660,777x = 476,155,793,034 × 476,155,793,034
  4. Step 4: Simplify right side
    219,826,660,777x = 226,724,339,239,837,434,380,288
  5. Step 5: Solve for x
    x = 226,724,339,239,837,434,380,288/219,826,660,777
  6. Step 6: Final answer
    x = 1,031,377,806,670.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.