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Finding the Third Proportional to 25,747,128,898 and 55,596,999,812

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Solution

The third proportional to 25,747,128,898 and 55,596,999,812 is: 120,053,245,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,747,128,898 : 55,596,999,812 = 55,596,999,812 : x
  2. Step 2: Convert to fraction form
    25,747,128,898/55,596,999,812 = 55,596,999,812/x
  3. Step 3: Cross multiply
    25,747,128,898x = 55,596,999,812 × 55,596,999,812
  4. Step 4: Simplify right side
    25,747,128,898x = 3,091,026,388,095,527,813,120
  5. Step 5: Solve for x
    x = 3,091,026,388,095,527,813,120/25,747,128,898
  6. Step 6: Final answer
    x = 120,053,245,561.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.