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Finding the Third Proportional to 25,571,516,988,045 and 52,498,654,585,520

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Solution

The third proportional to 25,571,516,988,045 and 52,498,654,585,520 is: 107,780,415,787,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571,516,988,045 : 52,498,654,585,520 = 52,498,654,585,520 : x
  2. Step 2: Convert to fraction form
    25,571,516,988,045/52,498,654,585,520 = 52,498,654,585,520/x
  3. Step 3: Cross multiply
    25,571,516,988,045x = 52,498,654,585,520 × 52,498,654,585,520
  4. Step 4: Simplify right side
    25,571,516,988,045x = 2,756,108,733,289,739,896,215,306,240
  5. Step 5: Solve for x
    x = 2,756,108,733,289,739,896,215,306,240/25,571,516,988,045
  6. Step 6: Final answer
    x = 107,780,415,787,544.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.