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Finding the Third Proportional to 3,723,670,666 and 8,101,109,262

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Solution

The third proportional to 3,723,670,666 and 8,101,109,262 is: 17,624,536,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723,670,666 : 8,101,109,262 = 8,101,109,262 : x
  2. Step 2: Convert to fraction form
    3,723,670,666/8,101,109,262 = 8,101,109,262/x
  3. Step 3: Cross multiply
    3,723,670,666x = 8,101,109,262 × 8,101,109,262
  4. Step 4: Simplify right side
    3,723,670,666x = 65,627,971,274,862,182,400
  5. Step 5: Solve for x
    x = 65,627,971,274,862,182,400/3,723,670,666
  6. Step 6: Final answer
    x = 17,624,536,958.68

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