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Finding the Third Proportional to 1,624,610,333 and 2,475,007,532

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Solution

The third proportional to 1,624,610,333 and 2,475,007,532 is: 3,770,542,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624,610,333 : 2,475,007,532 = 2,475,007,532 : x
  2. Step 2: Convert to fraction form
    1,624,610,333/2,475,007,532 = 2,475,007,532/x
  3. Step 3: Cross multiply
    1,624,610,333x = 2,475,007,532 × 2,475,007,532
  4. Step 4: Simplify right side
    1,624,610,333x = 6,125,662,283,456,731,136
  5. Step 5: Solve for x
    x = 6,125,662,283,456,731,136/1,624,610,333
  6. Step 6: Final answer
    x = 3,770,542,485.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.