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Finding the Third Proportional to 12,048,858,336 and 26,033,754,048

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Solution

The third proportional to 12,048,858,336 and 26,033,754,048 is: 56,250,669,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048,858,336 : 26,033,754,048 = 26,033,754,048 : x
  2. Step 2: Convert to fraction form
    12,048,858,336/26,033,754,048 = 26,033,754,048/x
  3. Step 3: Cross multiply
    12,048,858,336x = 26,033,754,048 × 26,033,754,048
  4. Step 4: Simplify right side
    12,048,858,336x = 677,756,349,831,756,382,208
  5. Step 5: Solve for x
    x = 677,756,349,831,756,382,208/12,048,858,336
  6. Step 6: Final answer
    x = 56,250,669,642.84

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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.