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Finding the Third Proportional to 1,624,610,322 and 2,475,007,515

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Solution

The third proportional to 1,624,610,322 and 2,475,007,515 is: 3,770,542,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624,610,322 : 2,475,007,515 = 2,475,007,515 : x
  2. Step 2: Convert to fraction form
    1,624,610,322/2,475,007,515 = 2,475,007,515/x
  3. Step 3: Cross multiply
    1,624,610,322x = 2,475,007,515 × 2,475,007,515
  4. Step 4: Simplify right side
    1,624,610,322x = 6,125,662,199,306,475,520
  5. Step 5: Solve for x
    x = 6,125,662,199,306,475,520/1,624,610,322
  6. Step 6: Final answer
    x = 3,770,542,459.54

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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.