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Finding the Third Proportional to 4,149,326.25 and 8,503,501.50

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Solution

The third proportional to 4,149,326.25 and 8,503,501.50 is: 17,426,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149,326.25 : 8,503,501.50 = 8,503,501.50 : x
  2. Step 2: Convert to fraction form
    4,149,326.25/8,503,501.50 = 8,503,501.50/x
  3. Step 3: Cross multiply
    4,149,326.25x = 8,503,501.50 × 8,503,501.50
  4. Step 4: Simplify right side
    4,149,326.25x = 72,309,537,760,502.25
  5. Step 5: Solve for x
    x = 72,309,537,760,502.25/4,149,326.25
  6. Step 6: Final answer
    x = 17,426,814.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.