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Finding the Third Proportional to 60,077,810,164 and 125,099,773,168

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Solution

The third proportional to 60,077,810,164 and 125,099,773,168 is: 260,494,735,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,077,810,164 : 125,099,773,168 = 125,099,773,168 : x
  2. Step 2: Convert to fraction form
    60,077,810,164/125,099,773,168 = 125,099,773,168/x
  3. Step 3: Cross multiply
    60,077,810,164x = 125,099,773,168 × 125,099,773,168
  4. Step 4: Simplify right side
    60,077,810,164x = 15,649,953,246,685,052,272,640
  5. Step 5: Solve for x
    x = 15,649,953,246,685,052,272,640/60,077,810,164
  6. Step 6: Final answer
    x = 260,494,735,143.71

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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.