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Finding the Third Proportional to 28,049,450,684,728 and 60,320,247,245,664

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Solution

The third proportional to 28,049,450,684,728 and 60,320,247,245,664 is: 129,718,484,282,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,049,450,684,728 : 60,320,247,245,664 = 60,320,247,245,664 : x
  2. Step 2: Convert to fraction form
    28,049,450,684,728/60,320,247,245,664 = 60,320,247,245,664/x
  3. Step 3: Cross multiply
    28,049,450,684,728x = 60,320,247,245,664 × 60,320,247,245,664
  4. Step 4: Simplify right side
    28,049,450,684,728x = 3,638,532,227,778,035,395,707,535,360
  5. Step 5: Solve for x
    x = 3,638,532,227,778,035,395,707,535,360/28,049,450,684,728
  6. Step 6: Final answer
    x = 129,718,484,282,442.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.