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Finding the Third Proportional to 14,849,776.50 and 23,629,147

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Solution

The third proportional to 14,849,776.50 and 23,629,147 is: 37,598,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849,776.50 : 23,629,147 = 23,629,147 : x
  2. Step 2: Convert to fraction form
    14,849,776.50/23,629,147 = 23,629,147/x
  3. Step 3: Cross multiply
    14,849,776.50x = 23,629,147 × 23,629,147
  4. Step 4: Simplify right side
    14,849,776.50x = 558,336,587,947,609
  5. Step 5: Solve for x
    x = 558,336,587,947,609/14,849,776.50
  6. Step 6: Final answer
    x = 37,598,989.31

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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.