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Finding the Third Proportional to 17,957,828,107.13 and 25,256,483,759.25

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Solution

The third proportional to 17,957,828,107.13 and 25,256,483,759.25 is: 35,521,554,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957,828,107.13 : 25,256,483,759.25 = 25,256,483,759.25 : x
  2. Step 2: Convert to fraction form
    17,957,828,107.13/25,256,483,759.25 = 25,256,483,759.25/x
  3. Step 3: Cross multiply
    17,957,828,107.13x = 25,256,483,759.25 × 25,256,483,759.25
  4. Step 4: Simplify right side
    17,957,828,107.13x = 637,889,971,881,259,040,768
  5. Step 5: Solve for x
    x = 637,889,971,881,259,040,768/17,957,828,107.13
  6. Step 6: Final answer
    x = 35,521,554,615.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.