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Finding the Third Proportional to 49,741,292 and 117,252,440

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Solution

The third proportional to 49,741,292 and 117,252,440 is: 276,392,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,741,292 : 117,252,440 = 117,252,440 : x
  2. Step 2: Convert to fraction form
    49,741,292/117,252,440 = 117,252,440/x
  3. Step 3: Cross multiply
    49,741,292x = 117,252,440 × 117,252,440
  4. Step 4: Simplify right side
    49,741,292x = 13,748,134,685,953,600
  5. Step 5: Solve for x
    x = 13,748,134,685,953,600/49,741,292
  6. Step 6: Final answer
    x = 276,392,794.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.