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Finding the Third Proportional to 24,932,845,053,090 and 53,617,997,551,698

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Solution

The third proportional to 24,932,845,053,090 and 53,617,997,551,698 is: 115,305,319,362,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932,845,053,090 : 53,617,997,551,698 = 53,617,997,551,698 : x
  2. Step 2: Convert to fraction form
    24,932,845,053,090/53,617,997,551,698 = 53,617,997,551,698/x
  3. Step 3: Cross multiply
    24,932,845,053,090x = 53,617,997,551,698 × 53,617,997,551,698
  4. Step 4: Simplify right side
    24,932,845,053,090x = 2,874,889,661,453,892,956,515,729,408
  5. Step 5: Solve for x
    x = 2,874,889,661,453,892,956,515,729,408/24,932,845,053,090
  6. Step 6: Final answer
    x = 115,305,319,362,163.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.