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Finding the Third Proportional to 906,109,806,454 and 1,963,036,340,412

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Solution

The third proportional to 906,109,806,454 and 1,963,036,340,412 is: 4,252,808,706,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,109,806,454 : 1,963,036,340,412 = 1,963,036,340,412 : x
  2. Step 2: Convert to fraction form
    906,109,806,454/1,963,036,340,412 = 1,963,036,340,412/x
  3. Step 3: Cross multiply
    906,109,806,454x = 1,963,036,340,412 × 1,963,036,340,412
  4. Step 4: Simplify right side
    906,109,806,454x = 3,853,511,673,778,137,536,135,168
  5. Step 5: Solve for x
    x = 3,853,511,673,778,137,536,135,168/906,109,806,454
  6. Step 6: Final answer
    x = 4,252,808,706,329.53

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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.