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Finding the Third Proportional to 4,845,510,906 and 10,517,993,844

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Solution

The third proportional to 4,845,510,906 and 10,517,993,844 is: 22,831,069,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845,510,906 : 10,517,993,844 = 10,517,993,844 : x
  2. Step 2: Convert to fraction form
    4,845,510,906/10,517,993,844 = 10,517,993,844/x
  3. Step 3: Cross multiply
    4,845,510,906x = 10,517,993,844 × 10,517,993,844
  4. Step 4: Simplify right side
    4,845,510,906x = 110,628,194,502,421,889,024
  5. Step 5: Solve for x
    x = 110,628,194,502,421,889,024/4,845,510,906
  6. Step 6: Final answer
    x = 22,831,069,137.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.