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Finding the Third Proportional to 22,264,593,196 and 47,716,295,660

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Solution

The third proportional to 22,264,593,196 and 47,716,295,660 is: 102,263,034,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264,593,196 : 47,716,295,660 = 47,716,295,660 : x
  2. Step 2: Convert to fraction form
    22,264,593,196/47,716,295,660 = 47,716,295,660/x
  3. Step 3: Cross multiply
    22,264,593,196x = 47,716,295,660 × 47,716,295,660
  4. Step 4: Simplify right side
    22,264,593,196x = 2,276,844,871,512,534,810,624
  5. Step 5: Solve for x
    x = 2,276,844,871,512,534,810,624/22,264,593,196
  6. Step 6: Final answer
    x = 102,263,034,921.37

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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.