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Finding the Third Proportional to 10,199,754 and 22,193,988

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Solution

The third proportional to 10,199,754 and 22,193,988 is: 48,292,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199,754 : 22,193,988 = 22,193,988 : x
  2. Step 2: Convert to fraction form
    10,199,754/22,193,988 = 22,193,988/x
  3. Step 3: Cross multiply
    10,199,754x = 22,193,988 × 22,193,988
  4. Step 4: Simplify right side
    10,199,754x = 492,573,103,344,144
  5. Step 5: Solve for x
    x = 492,573,103,344,144/10,199,754
  6. Step 6: Final answer
    x = 48,292,645.42

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Why These Related Problems?

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