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Finding the Third Proportional to 409,710,219.25 and 901,141,947.75

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Solution

The third proportional to 409,710,219.25 and 901,141,947.75 is: 1,982,027,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,710,219.25 : 901,141,947.75 = 901,141,947.75 : x
  2. Step 2: Convert to fraction form
    409,710,219.25/901,141,947.75 = 901,141,947.75/x
  3. Step 3: Cross multiply
    409,710,219.25x = 901,141,947.75 × 901,141,947.75
  4. Step 4: Simplify right side
    409,710,219.25x = 812,056,809,994,663,680
  5. Step 5: Solve for x
    x = 812,056,809,994,663,680/409,710,219.25
  6. Step 6: Final answer
    x = 1,982,027,227.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.