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Finding the Third Proportional to 18,785,750,796 and 40,260,625,074

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Solution

The third proportional to 18,785,750,796 and 40,260,625,074 is: 86,284,437,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,785,750,796 : 40,260,625,074 = 40,260,625,074 : x
  2. Step 2: Convert to fraction form
    18,785,750,796/40,260,625,074 = 40,260,625,074/x
  3. Step 3: Cross multiply
    18,785,750,796x = 40,260,625,074 × 40,260,625,074
  4. Step 4: Simplify right side
    18,785,750,796x = 1,620,917,931,349,197,455,360
  5. Step 5: Solve for x
    x = 1,620,917,931,349,197,455,360/18,785,750,796
  6. Step 6: Final answer
    x = 86,284,437,015.65

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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.