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Finding the Third Proportional to 10,675,400,277 and 22,234,385,004

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Solution

The third proportional to 10,675,400,277 and 22,234,385,004 is: 46,309,071,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,400,277 : 22,234,385,004 = 22,234,385,004 : x
  2. Step 2: Convert to fraction form
    10,675,400,277/22,234,385,004 = 22,234,385,004/x
  3. Step 3: Cross multiply
    10,675,400,277x = 22,234,385,004 × 22,234,385,004
  4. Step 4: Simplify right side
    10,675,400,277x = 494,367,876,506,100,105,216
  5. Step 5: Solve for x
    x = 494,367,876,506,100,105,216/10,675,400,277
  6. Step 6: Final answer
    x = 46,309,071,667.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.