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Finding the Third Proportional to 1,412,489,664 and 2,325,811,968

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Solution

The third proportional to 1,412,489,664 and 2,325,811,968 is: 3,829,692,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,489,664 : 2,325,811,968 = 2,325,811,968 : x
  2. Step 2: Convert to fraction form
    1,412,489,664/2,325,811,968 = 2,325,811,968/x
  3. Step 3: Cross multiply
    1,412,489,664x = 2,325,811,968 × 2,325,811,968
  4. Step 4: Simplify right side
    1,412,489,664x = 5,409,401,310,492,033,024
  5. Step 5: Solve for x
    x = 5,409,401,310,492,033,024/1,412,489,664
  6. Step 6: Final answer
    x = 3,829,692,668.46

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.