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Finding the Third Proportional to 659,968,144 and 1,374,141,056

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Solution

The third proportional to 659,968,144 and 1,374,141,056 is: 2,861,143,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,968,144 : 1,374,141,056 = 1,374,141,056 : x
  2. Step 2: Convert to fraction form
    659,968,144/1,374,141,056 = 1,374,141,056/x
  3. Step 3: Cross multiply
    659,968,144x = 1,374,141,056 × 1,374,141,056
  4. Step 4: Simplify right side
    659,968,144x = 1,888,263,641,784,795,136
  5. Step 5: Solve for x
    x = 1,888,263,641,784,795,136/659,968,144
  6. Step 6: Final answer
    x = 2,861,143,615.72

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