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Finding the Third Proportional to 10,199,768 and 22,194,016

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Solution

The third proportional to 10,199,768 and 22,194,016 is: 48,292,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199,768 : 22,194,016 = 22,194,016 : x
  2. Step 2: Convert to fraction form
    10,199,768/22,194,016 = 22,194,016/x
  3. Step 3: Cross multiply
    10,199,768x = 22,194,016 × 22,194,016
  4. Step 4: Simplify right side
    10,199,768x = 492,574,346,208,256
  5. Step 5: Solve for x
    x = 492,574,346,208,256/10,199,768
  6. Step 6: Final answer
    x = 48,292,700.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.