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Finding the Third Proportional to 10,768,721.25 and 23,051,154

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Solution

The third proportional to 10,768,721.25 and 23,051,154 is: 49,342,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768,721.25 : 23,051,154 = 23,051,154 : x
  2. Step 2: Convert to fraction form
    10,768,721.25/23,051,154 = 23,051,154/x
  3. Step 3: Cross multiply
    10,768,721.25x = 23,051,154 × 23,051,154
  4. Step 4: Simplify right side
    10,768,721.25x = 531,355,700,731,716
  5. Step 5: Solve for x
    x = 531,355,700,731,716/10,768,721.25
  6. Step 6: Final answer
    x = 49,342,506.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.