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Finding the Third Proportional to 22,264,593,120 and 47,716,295,508

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Solution

The third proportional to 22,264,593,120 and 47,716,295,508 is: 102,263,034,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264,593,120 : 47,716,295,508 = 47,716,295,508 : x
  2. Step 2: Convert to fraction form
    22,264,593,120/47,716,295,508 = 47,716,295,508/x
  3. Step 3: Cross multiply
    22,264,593,120x = 47,716,295,508 × 47,716,295,508
  4. Step 4: Simplify right side
    22,264,593,120x = 2,276,844,857,006,781,104,128
  5. Step 5: Solve for x
    x = 2,276,844,857,006,781,104,128/22,264,593,120
  6. Step 6: Final answer
    x = 102,263,034,618.92

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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.