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Finding the Third Proportional to 7,610,142 and 11,142,189

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Solution

The third proportional to 7,610,142 and 11,142,189 is: 16,313,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610,142 : 11,142,189 = 11,142,189 : x
  2. Step 2: Convert to fraction form
    7,610,142/11,142,189 = 11,142,189/x
  3. Step 3: Cross multiply
    7,610,142x = 11,142,189 × 11,142,189
  4. Step 4: Simplify right side
    7,610,142x = 124,148,375,711,721
  5. Step 5: Solve for x
    x = 124,148,375,711,721/7,610,142
  6. Step 6: Final answer
    x = 16,313,542.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.