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Finding the Third Proportional to 408,045,969.75 and 885,370,250.25

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Solution

The third proportional to 408,045,969.75 and 885,370,250.25 is: 1,921,059,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045,969.75 : 885,370,250.25 = 885,370,250.25 : x
  2. Step 2: Convert to fraction form
    408,045,969.75/885,370,250.25 = 885,370,250.25/x
  3. Step 3: Cross multiply
    408,045,969.75x = 885,370,250.25 × 885,370,250.25
  4. Step 4: Simplify right side
    408,045,969.75x = 783,880,480,027,747,584
  5. Step 5: Solve for x
    x = 783,880,480,027,747,584/408,045,969.75
  6. Step 6: Final answer
    x = 1,921,059,238.76

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Why These Related Problems?

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