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Finding the Third Proportional to 906,109,806,448 and 1,963,036,340,400

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Solution

The third proportional to 906,109,806,448 and 1,963,036,340,400 is: 4,252,808,706,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,109,806,448 : 1,963,036,340,400 = 1,963,036,340,400 : x
  2. Step 2: Convert to fraction form
    906,109,806,448/1,963,036,340,400 = 1,963,036,340,400/x
  3. Step 3: Cross multiply
    906,109,806,448x = 1,963,036,340,400 × 1,963,036,340,400
  4. Step 4: Simplify right side
    906,109,806,448x = 3,853,511,673,731,024,429,252,608
  5. Step 5: Solve for x
    x = 3,853,511,673,731,024,429,252,608/906,109,806,448
  6. Step 6: Final answer
    x = 4,252,808,706,305.70

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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.