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Finding the Third Proportional to 56,827,763 and 122,749,132

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Solution

The third proportional to 56,827,763 and 122,749,132 is: 265,140,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,827,763 : 122,749,132 = 122,749,132 : x
  2. Step 2: Convert to fraction form
    56,827,763/122,749,132 = 122,749,132/x
  3. Step 3: Cross multiply
    56,827,763x = 122,749,132 × 122,749,132
  4. Step 4: Simplify right side
    56,827,763x = 15,067,349,406,753,424
  5. Step 5: Solve for x
    x = 15,067,349,406,753,424/56,827,763
  6. Step 6: Final answer
    x = 265,140,639.21

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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.