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Finding the Third Proportional to 10,509,194 and 22,639,036

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Solution

The third proportional to 10,509,194 and 22,639,036 is: 48,769,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509,194 : 22,639,036 = 22,639,036 : x
  2. Step 2: Convert to fraction form
    10,509,194/22,639,036 = 22,639,036/x
  3. Step 3: Cross multiply
    10,509,194x = 22,639,036 × 22,639,036
  4. Step 4: Simplify right side
    10,509,194x = 512,525,951,009,296
  5. Step 5: Solve for x
    x = 512,525,951,009,296/10,509,194
  6. Step 6: Final answer
    x = 48,769,292.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.