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Finding the Third Proportional to 18,785,750,798 and 40,260,625,078

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Solution

The third proportional to 18,785,750,798 and 40,260,625,078 is: 86,284,437,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,785,750,798 : 40,260,625,078 = 40,260,625,078 : x
  2. Step 2: Convert to fraction form
    18,785,750,798/40,260,625,078 = 40,260,625,078/x
  3. Step 3: Cross multiply
    18,785,750,798x = 40,260,625,078 × 40,260,625,078
  4. Step 4: Simplify right side
    18,785,750,798x = 1,620,917,931,671,282,515,968
  5. Step 5: Solve for x
    x = 1,620,917,931,671,282,515,968/18,785,750,798
  6. Step 6: Final answer
    x = 86,284,437,023.61

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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.