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Finding the Third Proportional to 10,184,212.69 and 21,824,587.69

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Solution

The third proportional to 10,184,212.69 and 21,824,587.69 is: 46,769,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184,212.69 : 21,824,587.69 = 21,824,587.69 : x
  2. Step 2: Convert to fraction form
    10,184,212.69/21,824,587.69 = 21,824,587.69/x
  3. Step 3: Cross multiply
    10,184,212.69x = 21,824,587.69 × 21,824,587.69
  4. Step 4: Simplify right side
    10,184,212.69x = 476,312,627,729,376.62
  5. Step 5: Solve for x
    x = 476,312,627,729,376.62/10,184,212.69
  6. Step 6: Final answer
    x = 46,769,705.46

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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.