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Finding the Third Proportional to 31,551,177 and 48,466,485

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Solution

The third proportional to 31,551,177 and 48,466,485 is: 74,450,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551,177 : 48,466,485 = 48,466,485 : x
  2. Step 2: Convert to fraction form
    31,551,177/48,466,485 = 48,466,485/x
  3. Step 3: Cross multiply
    31,551,177x = 48,466,485 × 48,466,485
  4. Step 4: Simplify right side
    31,551,177x = 2,349,000,168,255,225
  5. Step 5: Solve for x
    x = 2,349,000,168,255,225/31,551,177
  6. Step 6: Final answer
    x = 74,450,476.71

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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.