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Finding the Third Proportional to 60,077,812,515 and 125,099,776,686

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Solution

The third proportional to 60,077,812,515 and 125,099,776,686 is: 260,494,739,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,077,812,515 : 125,099,776,686 = 125,099,776,686 : x
  2. Step 2: Convert to fraction form
    60,077,812,515/125,099,776,686 = 125,099,776,686/x
  3. Step 3: Cross multiply
    60,077,812,515x = 125,099,776,686 × 125,099,776,686
  4. Step 4: Simplify right side
    60,077,812,515x = 15,649,954,126,887,068,368,896
  5. Step 5: Solve for x
    x = 15,649,954,126,887,068,368,896/60,077,812,515
  6. Step 6: Final answer
    x = 260,494,739,600.91

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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.