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Finding the Third Proportional to 25,197,970,195.50 and 53,990,086,734

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Solution

The third proportional to 25,197,970,195.50 and 53,990,086,734 is: 115,681,122,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197,970,195.50 : 53,990,086,734 = 53,990,086,734 : x
  2. Step 2: Convert to fraction form
    25,197,970,195.50/53,990,086,734 = 53,990,086,734/x
  3. Step 3: Cross multiply
    25,197,970,195.50x = 53,990,086,734 × 53,990,086,734
  4. Step 4: Simplify right side
    25,197,970,195.50x = 2,914,929,465,544,842,674,176
  5. Step 5: Solve for x
    x = 2,914,929,465,544,842,674,176/25,197,970,195.50
  6. Step 6: Final answer
    x = 115,681,122,047.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.