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Finding the Third Proportional to 666,164,832 and 1,443,536,832

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Solution

The third proportional to 666,164,832 and 1,443,536,832 is: 3,128,052,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,164,832 : 1,443,536,832 = 1,443,536,832 : x
  2. Step 2: Convert to fraction form
    666,164,832/1,443,536,832 = 1,443,536,832/x
  3. Step 3: Cross multiply
    666,164,832x = 1,443,536,832 × 1,443,536,832
  4. Step 4: Simplify right side
    666,164,832x = 2,083,798,585,340,596,224
  5. Step 5: Solve for x
    x = 2,083,798,585,340,596,224/666,164,832
  6. Step 6: Final answer
    x = 3,128,052,525.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.