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Finding the Third Proportional to 56,143,728 and 84,630,324

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Solution

The third proportional to 56,143,728 and 84,630,324 is: 127,570,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,143,728 : 84,630,324 = 84,630,324 : x
  2. Step 2: Convert to fraction form
    56,143,728/84,630,324 = 84,630,324/x
  3. Step 3: Cross multiply
    56,143,728x = 84,630,324 × 84,630,324
  4. Step 4: Simplify right side
    56,143,728x = 7,162,291,740,344,976
  5. Step 5: Solve for x
    x = 7,162,291,740,344,976/56,143,728
  6. Step 6: Final answer
    x = 127,570,647.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.