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Finding the Third Proportional to 25,198,001,055 and 53,990,148,753

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Solution

The third proportional to 25,198,001,055 and 53,990,148,753 is: 115,681,246,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198,001,055 : 53,990,148,753 = 53,990,148,753 : x
  2. Step 2: Convert to fraction form
    25,198,001,055/53,990,148,753 = 53,990,148,753/x
  3. Step 3: Cross multiply
    25,198,001,055x = 53,990,148,753 × 53,990,148,753
  4. Step 4: Simplify right side
    25,198,001,055x = 2,914,936,162,371,067,445,248
  5. Step 5: Solve for x
    x = 2,914,936,162,371,067,445,248/25,198,001,055
  6. Step 6: Final answer
    x = 115,681,246,143.64

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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.