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Finding the Third Proportional to 20,454,513,320 and 47,790,972,574

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Solution

The third proportional to 20,454,513,320 and 47,790,972,574 is: 111,661,276,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454,513,320 : 47,790,972,574 = 47,790,972,574 : x
  2. Step 2: Convert to fraction form
    20,454,513,320/47,790,972,574 = 47,790,972,574/x
  3. Step 3: Cross multiply
    20,454,513,320x = 47,790,972,574 × 47,790,972,574
  4. Step 4: Simplify right side
    20,454,513,320x = 2,283,977,059,568,820,158,464
  5. Step 5: Solve for x
    x = 2,283,977,059,568,820,158,464/20,454,513,320
  6. Step 6: Final answer
    x = 111,661,276,112.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.