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Finding the Third Proportional to 7,442,259 and 11,206,944

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Solution

The third proportional to 7,442,259 and 11,206,944 is: 16,876,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442,259 : 11,206,944 = 11,206,944 : x
  2. Step 2: Convert to fraction form
    7,442,259/11,206,944 = 11,206,944/x
  3. Step 3: Cross multiply
    7,442,259x = 11,206,944 × 11,206,944
  4. Step 4: Simplify right side
    7,442,259x = 125,595,593,819,136
  5. Step 5: Solve for x
    x = 125,595,593,819,136/7,442,259
  6. Step 6: Final answer
    x = 16,876,004.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.