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Finding the Third Proportional to 3,457,783.69 and 5,555,731.78

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Solution

The third proportional to 3,457,783.69 and 5,555,731.78 is: 8,926,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,783.69 : 5,555,731.78 = 5,555,731.78 : x
  2. Step 2: Convert to fraction form
    3,457,783.69/5,555,731.78 = 5,555,731.78/x
  3. Step 3: Cross multiply
    3,457,783.69x = 5,555,731.78 × 5,555,731.78
  4. Step 4: Simplify right side
    3,457,783.69x = 30,866,155,625,191.30
  5. Step 5: Solve for x
    x = 30,866,155,625,191.30/3,457,783.69
  6. Step 6: Final answer
    x = 8,926,572.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.