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Finding the Third Proportional to 31,551,171 and 48,466,476

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Solution

The third proportional to 31,551,171 and 48,466,476 is: 74,450,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551,171 : 48,466,476 = 48,466,476 : x
  2. Step 2: Convert to fraction form
    31,551,171/48,466,476 = 48,466,476/x
  3. Step 3: Cross multiply
    31,551,171x = 48,466,476 × 48,466,476
  4. Step 4: Simplify right side
    31,551,171x = 2,348,999,295,858,576
  5. Step 5: Solve for x
    x = 2,348,999,295,858,576/31,551,171
  6. Step 6: Final answer
    x = 74,450,463.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.