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Finding the Third Proportional to 894,789,976,370.70 and 1,962,815,901,275.60

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Solution

The third proportional to 894,789,976,370.70 and 1,962,815,901,275.60 is: 4,305,643,071,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,789,976,370.70 : 1,962,815,901,275.60 = 1,962,815,901,275.60 : x
  2. Step 2: Convert to fraction form
    894,789,976,370.70/1,962,815,901,275.60 = 1,962,815,901,275.60/x
  3. Step 3: Cross multiply
    894,789,976,370.70x = 1,962,815,901,275.60 × 1,962,815,901,275.60
  4. Step 4: Simplify right side
    894,789,976,370.70x = 3,852,646,262,300,346,106,773,504
  5. Step 5: Solve for x
    x = 3,852,646,262,300,346,106,773,504/894,789,976,370.70
  6. Step 6: Final answer
    x = 4,305,643,071,603.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.