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Finding the Third Proportional to 60,077,812,510 and 125,099,776,676

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Solution

The third proportional to 60,077,812,510 and 125,099,776,676 is: 260,494,739,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,077,812,510 : 125,099,776,676 = 125,099,776,676 : x
  2. Step 2: Convert to fraction form
    60,077,812,510/125,099,776,676 = 125,099,776,676/x
  3. Step 3: Cross multiply
    60,077,812,510x = 125,099,776,676 × 125,099,776,676
  4. Step 4: Simplify right side
    60,077,812,510x = 15,649,954,124,385,073,758,208
  5. Step 5: Solve for x
    x = 15,649,954,124,385,073,758,208/60,077,812,510
  6. Step 6: Final answer
    x = 260,494,739,580.94

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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.