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Finding the Third Proportional to 7,580,523.50 and 12,377,001.38

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Solution

The third proportional to 7,580,523.50 and 12,377,001.38 is: 20,208,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580,523.50 : 12,377,001.38 = 12,377,001.38 : x
  2. Step 2: Convert to fraction form
    7,580,523.50/12,377,001.38 = 12,377,001.38/x
  3. Step 3: Cross multiply
    7,580,523.50x = 12,377,001.38 × 12,377,001.38
  4. Step 4: Simplify right side
    7,580,523.50x = 153,190,163,036,751.88
  5. Step 5: Solve for x
    x = 153,190,163,036,751.88/7,580,523.50
  6. Step 6: Final answer
    x = 20,208,388.38

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.