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Finding the Third Proportional to 9,996,869,138 and 20,821,173,201

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Solution

The third proportional to 9,996,869,138 and 20,821,173,201 is: 43,365,702,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996,869,138 : 20,821,173,201 = 20,821,173,201 : x
  2. Step 2: Convert to fraction form
    9,996,869,138/20,821,173,201 = 20,821,173,201/x
  3. Step 3: Cross multiply
    9,996,869,138x = 20,821,173,201 × 20,821,173,201
  4. Step 4: Simplify right side
    9,996,869,138x = 433,521,253,466,040,565,760
  5. Step 5: Solve for x
    x = 433,521,253,466,040,565,760/9,996,869,138
  6. Step 6: Final answer
    x = 43,365,702,549.63

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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.