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Finding the Third Proportional to 2,718,865,862 and 4,198,404,790

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Solution

The third proportional to 2,718,865,862 and 4,198,404,790 is: 6,483,071,867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718,865,862 : 4,198,404,790 = 4,198,404,790 : x
  2. Step 2: Convert to fraction form
    2,718,865,862/4,198,404,790 = 4,198,404,790/x
  3. Step 3: Cross multiply
    2,718,865,862x = 4,198,404,790 × 4,198,404,790
  4. Step 4: Simplify right side
    2,718,865,862x = 17,626,602,780,694,943,744
  5. Step 5: Solve for x
    x = 17,626,602,780,694,943,744/2,718,865,862
  6. Step 6: Final answer
    x = 6,483,071,867.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.