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Finding the Third Proportional to 1,043,652,823 and 2,236,701,394

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Solution

The third proportional to 1,043,652,823 and 2,236,701,394 is: 4,793,579,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,652,823 : 2,236,701,394 = 2,236,701,394 : x
  2. Step 2: Convert to fraction form
    1,043,652,823/2,236,701,394 = 2,236,701,394/x
  3. Step 3: Cross multiply
    1,043,652,823x = 2,236,701,394 × 2,236,701,394
  4. Step 4: Simplify right side
    1,043,652,823x = 5,002,833,125,921,543,168
  5. Step 5: Solve for x
    x = 5,002,833,125,921,543,168/1,043,652,823
  6. Step 6: Final answer
    x = 4,793,579,833.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.