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Finding the Third Proportional to 27,722,589,869 and 60,525,281,854

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Solution

The third proportional to 27,722,589,869 and 60,525,281,854 is: 132,141,685,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722,589,869 : 60,525,281,854 = 60,525,281,854 : x
  2. Step 2: Convert to fraction form
    27,722,589,869/60,525,281,854 = 60,525,281,854/x
  3. Step 3: Cross multiply
    27,722,589,869x = 60,525,281,854 × 60,525,281,854
  4. Step 4: Simplify right side
    27,722,589,869x = 3,663,309,743,506,141,478,912
  5. Step 5: Solve for x
    x = 3,663,309,743,506,141,478,912/27,722,589,869
  6. Step 6: Final answer
    x = 132,141,685,203.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.