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Finding the Third Proportional to 5,312,009 and 11,436,732

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Solution

The third proportional to 5,312,009 and 11,436,732 is: 24,623,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312,009 : 11,436,732 = 11,436,732 : x
  2. Step 2: Convert to fraction form
    5,312,009/11,436,732 = 11,436,732/x
  3. Step 3: Cross multiply
    5,312,009x = 11,436,732 × 11,436,732
  4. Step 4: Simplify right side
    5,312,009x = 130,798,838,839,824
  5. Step 5: Solve for x
    x = 130,798,838,839,824/5,312,009
  6. Step 6: Final answer
    x = 24,623,233.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.