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Finding the Third Proportional to 60,077,812,511 and 125,099,776,678

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Solution

The third proportional to 60,077,812,511 and 125,099,776,678 is: 260,494,739,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,077,812,511 : 125,099,776,678 = 125,099,776,678 : x
  2. Step 2: Convert to fraction form
    60,077,812,511/125,099,776,678 = 125,099,776,678/x
  3. Step 3: Cross multiply
    60,077,812,511x = 125,099,776,678 × 125,099,776,678
  4. Step 4: Simplify right side
    60,077,812,511x = 15,649,954,124,885,473,099,776
  5. Step 5: Solve for x
    x = 15,649,954,124,885,473,099,776/60,077,812,511
  6. Step 6: Final answer
    x = 260,494,739,584.94

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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.