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Finding the Third Proportional to 4,723,575.75 and 7,519,786.88

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Solution

The third proportional to 4,723,575.75 and 7,519,786.88 is: 11,971,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,575.75 : 7,519,786.88 = 7,519,786.88 : x
  2. Step 2: Convert to fraction form
    4,723,575.75/7,519,786.88 = 7,519,786.88/x
  3. Step 3: Cross multiply
    4,723,575.75x = 7,519,786.88 × 7,519,786.88
  4. Step 4: Simplify right side
    4,723,575.75x = 56,547,194,645,422.27
  5. Step 5: Solve for x
    x = 56,547,194,645,422.27/4,723,575.75
  6. Step 6: Final answer
    x = 11,971,268.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.