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Finding the Third Proportional to 2,225,744,940,279 and 4,821,077,404,293

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Solution

The third proportional to 2,225,744,940,279 and 4,821,077,404,293 is: 10,442,700,292,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,744,940,279 : 4,821,077,404,293 = 4,821,077,404,293 : x
  2. Step 2: Convert to fraction form
    2,225,744,940,279/4,821,077,404,293 = 4,821,077,404,293/x
  3. Step 3: Cross multiply
    2,225,744,940,279x = 4,821,077,404,293 × 4,821,077,404,293
  4. Step 4: Simplify right side
    2,225,744,940,279x = 23,242,787,338,184,528,693,821,440
  5. Step 5: Solve for x
    x = 23,242,787,338,184,528,693,821,440/2,225,744,940,279
  6. Step 6: Final answer
    x = 10,442,700,292,186.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.