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Finding the Third Proportional to 25,901,816,498,504 and 57,594,909,473,712

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Solution

The third proportional to 25,901,816,498,504 and 57,594,909,473,712 is: 128,067,218,663,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901,816,498,504 : 57,594,909,473,712 = 57,594,909,473,712 : x
  2. Step 2: Convert to fraction form
    25,901,816,498,504/57,594,909,473,712 = 57,594,909,473,712/x
  3. Step 3: Cross multiply
    25,901,816,498,504x = 57,594,909,473,712 × 57,594,909,473,712
  4. Step 4: Simplify right side
    25,901,816,498,504x = 3,317,173,597,285,080,121,200,345,088
  5. Step 5: Solve for x
    x = 3,317,173,597,285,080,121,200,345,088/25,901,816,498,504
  6. Step 6: Final answer
    x = 128,067,218,663,087.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.