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Finding the Third Proportional to 56,827,761 and 122,749,128

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Solution

The third proportional to 56,827,761 and 122,749,128 is: 265,140,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,827,761 : 122,749,128 = 122,749,128 : x
  2. Step 2: Convert to fraction form
    56,827,761/122,749,128 = 122,749,128/x
  3. Step 3: Cross multiply
    56,827,761x = 122,749,128 × 122,749,128
  4. Step 4: Simplify right side
    56,827,761x = 15,067,348,424,760,384
  5. Step 5: Solve for x
    x = 15,067,348,424,760,384/56,827,761
  6. Step 6: Final answer
    x = 265,140,631.26

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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.