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Finding the Third Proportional to 4,845,510,924 and 10,517,993,880

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Solution

The third proportional to 4,845,510,924 and 10,517,993,880 is: 22,831,069,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845,510,924 : 10,517,993,880 = 10,517,993,880 : x
  2. Step 2: Convert to fraction form
    4,845,510,924/10,517,993,880 = 10,517,993,880/x
  3. Step 3: Cross multiply
    4,845,510,924x = 10,517,993,880 × 10,517,993,880
  4. Step 4: Simplify right side
    4,845,510,924x = 110,628,195,259,717,451,776
  5. Step 5: Solve for x
    x = 110,628,195,259,717,451,776/4,845,510,924
  6. Step 6: Final answer
    x = 22,831,069,209.19

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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.