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Finding the Third Proportional to 8,289,109,837 and 18,030,559,353

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Solution

The third proportional to 8,289,109,837 and 18,030,559,353 is: 39,220,263,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289,109,837 : 18,030,559,353 = 18,030,559,353 : x
  2. Step 2: Convert to fraction form
    8,289,109,837/18,030,559,353 = 18,030,559,353/x
  3. Step 3: Cross multiply
    8,289,109,837x = 18,030,559,353 × 18,030,559,353
  4. Step 4: Simplify right side
    8,289,109,837x = 325,101,070,582,055,763,968
  5. Step 5: Solve for x
    x = 325,101,070,582,055,763,968/8,289,109,837
  6. Step 6: Final answer
    x = 39,220,263,330.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.