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Finding the Third Proportional to 60,077,812,513 and 125,099,776,682

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Solution

The third proportional to 60,077,812,513 and 125,099,776,682 is: 260,494,739,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,077,812,513 : 125,099,776,682 = 125,099,776,682 : x
  2. Step 2: Convert to fraction form
    60,077,812,513/125,099,776,682 = 125,099,776,682/x
  3. Step 3: Cross multiply
    60,077,812,513x = 125,099,776,682 × 125,099,776,682
  4. Step 4: Simplify right side
    60,077,812,513x = 15,649,954,125,886,271,782,912
  5. Step 5: Solve for x
    x = 15,649,954,125,886,271,782,912/60,077,812,513
  6. Step 6: Final answer
    x = 260,494,739,592.92

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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.