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Finding the Third Proportional to 51,495,844 and 107,224,648

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Solution

The third proportional to 51,495,844 and 107,224,648 is: 223,263,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,495,844 : 107,224,648 = 107,224,648 : x
  2. Step 2: Convert to fraction form
    51,495,844/107,224,648 = 107,224,648/x
  3. Step 3: Cross multiply
    51,495,844x = 107,224,648 × 107,224,648
  4. Step 4: Simplify right side
    51,495,844x = 11,497,125,138,723,904
  5. Step 5: Solve for x
    x = 11,497,125,138,723,904/51,495,844
  6. Step 6: Final answer
    x = 223,263,165.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.