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Finding the Third Proportional to 906,109,806,450 and 1,963,036,340,404

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Solution

The third proportional to 906,109,806,450 and 1,963,036,340,404 is: 4,252,808,706,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,109,806,450 : 1,963,036,340,404 = 1,963,036,340,404 : x
  2. Step 2: Convert to fraction form
    906,109,806,450/1,963,036,340,404 = 1,963,036,340,404/x
  3. Step 3: Cross multiply
    906,109,806,450x = 1,963,036,340,404 × 1,963,036,340,404
  4. Step 4: Simplify right side
    906,109,806,450x = 3,853,511,673,746,728,977,170,432
  5. Step 5: Solve for x
    x = 3,853,511,673,746,728,977,170,432/906,109,806,450
  6. Step 6: Final answer
    x = 4,252,808,706,313.64

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