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Finding the Third Proportional to 2,262,646,186 and 4,871,095,159

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Solution

The third proportional to 2,262,646,186 and 4,871,095,159 is: 10,486,645,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262,646,186 : 4,871,095,159 = 4,871,095,159 : x
  2. Step 2: Convert to fraction form
    2,262,646,186/4,871,095,159 = 4,871,095,159/x
  3. Step 3: Cross multiply
    2,262,646,186x = 4,871,095,159 × 4,871,095,159
  4. Step 4: Simplify right side
    2,262,646,186x = 23,727,568,048,033,234,944
  5. Step 5: Solve for x
    x = 23,727,568,048,033,234,944/2,262,646,186
  6. Step 6: Final answer
    x = 10,486,645,324.77

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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.