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Finding the Third Proportional to 7,612,653.75 and 17,965,089.38

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Solution

The third proportional to 7,612,653.75 and 17,965,089.38 is: 42,395,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,653.75 : 17,965,089.38 = 17,965,089.38 : x
  2. Step 2: Convert to fraction form
    7,612,653.75/17,965,089.38 = 17,965,089.38/x
  3. Step 3: Cross multiply
    7,612,653.75x = 17,965,089.38 × 17,965,089.38
  4. Step 4: Simplify right side
    7,612,653.75x = 322,744,436,251,737.88
  5. Step 5: Solve for x
    x = 322,744,436,251,737.88/7,612,653.75
  6. Step 6: Final answer
    x = 42,395,785.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.