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Finding the Third Proportional to 10,306,146 and 22,388,132

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Solution

The third proportional to 10,306,146 and 22,388,132 is: 48,633,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306,146 : 22,388,132 = 22,388,132 : x
  2. Step 2: Convert to fraction form
    10,306,146/22,388,132 = 22,388,132/x
  3. Step 3: Cross multiply
    10,306,146x = 22,388,132 × 22,388,132
  4. Step 4: Simplify right side
    10,306,146x = 501,228,454,449,424
  5. Step 5: Solve for x
    x = 501,228,454,449,424/10,306,146
  6. Step 6: Final answer
    x = 48,633,936.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.