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Finding the Third Proportional to 7,234,100 and 11,191,190

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Solution

The third proportional to 7,234,100 and 11,191,190 is: 17,312,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234,100 : 11,191,190 = 11,191,190 : x
  2. Step 2: Convert to fraction form
    7,234,100/11,191,190 = 11,191,190/x
  3. Step 3: Cross multiply
    7,234,100x = 11,191,190 × 11,191,190
  4. Step 4: Simplify right side
    7,234,100x = 125,242,733,616,100
  5. Step 5: Solve for x
    x = 125,242,733,616,100/7,234,100
  6. Step 6: Final answer
    x = 17,312,828.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.