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Finding the Third Proportional to 20,454,513,318 and 47,790,972,569.25

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Solution

The third proportional to 20,454,513,318 and 47,790,972,569.25 is: 111,661,276,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454,513,318 : 47,790,972,569.25 = 47,790,972,569.25 : x
  2. Step 2: Convert to fraction form
    20,454,513,318/47,790,972,569.25 = 47,790,972,569.25/x
  3. Step 3: Cross multiply
    20,454,513,318x = 47,790,972,569.25 × 47,790,972,569.25
  4. Step 4: Simplify right side
    20,454,513,318x = 2,283,977,059,114,805,886,976
  5. Step 5: Solve for x
    x = 2,283,977,059,114,805,886,976/20,454,513,318
  6. Step 6: Final answer
    x = 111,661,276,101.10

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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.