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Finding the Third Proportional to 82,418,916 and 162,763,476

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Solution

The third proportional to 82,418,916 and 162,763,476 is: 321,430,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,418,916 : 162,763,476 = 162,763,476 : x
  2. Step 2: Convert to fraction form
    82,418,916/162,763,476 = 162,763,476/x
  3. Step 3: Cross multiply
    82,418,916x = 162,763,476 × 162,763,476
  4. Step 4: Simplify right side
    82,418,916x = 26,491,949,119,602,576
  5. Step 5: Solve for x
    x = 26,491,949,119,602,576/82,418,916
  6. Step 6: Final answer
    x = 321,430,448.32

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.