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Finding the Third Proportional to 10,111,983 and 21,840,057

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Solution

The third proportional to 10,111,983 and 21,840,057 is: 47,170,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111,983 : 21,840,057 = 21,840,057 : x
  2. Step 2: Convert to fraction form
    10,111,983/21,840,057 = 21,840,057/x
  3. Step 3: Cross multiply
    10,111,983x = 21,840,057 × 21,840,057
  4. Step 4: Simplify right side
    10,111,983x = 476,988,089,763,249
  5. Step 5: Solve for x
    x = 476,988,089,763,249/10,111,983
  6. Step 6: Final answer
    x = 47,170,578.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.