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Finding the Third Proportional to 14,849,772 and 23,629,152

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Solution

The third proportional to 14,849,772 and 23,629,152 is: 37,599,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849,772 : 23,629,152 = 23,629,152 : x
  2. Step 2: Convert to fraction form
    14,849,772/23,629,152 = 23,629,152/x
  3. Step 3: Cross multiply
    14,849,772x = 23,629,152 × 23,629,152
  4. Step 4: Simplify right side
    14,849,772x = 558,336,824,239,104
  5. Step 5: Solve for x
    x = 558,336,824,239,104/14,849,772
  6. Step 6: Final answer
    x = 37,599,016.62

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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.