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Finding the Third Proportional to 5,457,430.69 and 8,185,462.59

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Solution

The third proportional to 5,457,430.69 and 8,185,462.59 is: 12,277,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457,430.69 : 8,185,462.59 = 8,185,462.59 : x
  2. Step 2: Convert to fraction form
    5,457,430.69/8,185,462.59 = 8,185,462.59/x
  3. Step 3: Cross multiply
    5,457,430.69x = 8,185,462.59 × 8,185,462.59
  4. Step 4: Simplify right side
    5,457,430.69x = 67,001,797,873,680.48
  5. Step 5: Solve for x
    x = 67,001,797,873,680.48/5,457,430.69
  6. Step 6: Final answer
    x = 12,277,168.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.