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Finding the Third Proportional to 127,953,484 and 276,295,256

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Solution

The third proportional to 127,953,484 and 276,295,256 is: 596,615,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,953,484 : 276,295,256 = 276,295,256 : x
  2. Step 2: Convert to fraction form
    127,953,484/276,295,256 = 276,295,256/x
  3. Step 3: Cross multiply
    127,953,484x = 276,295,256 × 276,295,256
  4. Step 4: Simplify right side
    127,953,484x = 76,339,068,488,105,536
  5. Step 5: Solve for x
    x = 76,339,068,488,105,536/127,953,484
  6. Step 6: Final answer
    x = 596,615,786.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.