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Finding the Third Proportional to 7,599,357.98 and 11,198,038.01

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Solution

The third proportional to 7,599,357.98 and 11,198,038.01 is: 16,500,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,599,357.98 : 11,198,038.01 = 11,198,038.01 : x
  2. Step 2: Convert to fraction form
    7,599,357.98/11,198,038.01 = 11,198,038.01/x
  3. Step 3: Cross multiply
    7,599,357.98x = 11,198,038.01 × 11,198,038.01
  4. Step 4: Simplify right side
    7,599,357.98x = 125,396,055,224,402.16
  5. Step 5: Solve for x
    x = 125,396,055,224,402.16/7,599,357.98
  6. Step 6: Final answer
    x = 16,500,874.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.