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Finding the Third Proportional to 14,861,097 and 20,927,706.75

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Solution

The third proportional to 14,861,097 and 20,927,706.75 is: 29,470,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861,097 : 20,927,706.75 = 20,927,706.75 : x
  2. Step 2: Convert to fraction form
    14,861,097/20,927,706.75 = 20,927,706.75/x
  3. Step 3: Cross multiply
    14,861,097x = 20,927,706.75 × 20,927,706.75
  4. Step 4: Simplify right side
    14,861,097x = 437,968,909,813,995.56
  5. Step 5: Solve for x
    x = 437,968,909,813,995.56/14,861,097
  6. Step 6: Final answer
    x = 29,470,833.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.