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Finding the Third Proportional to 6,116,401.13 and 9,174,009.38

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Solution

The third proportional to 6,116,401.13 and 9,174,009.38 is: 13,760,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116,401.13 : 9,174,009.38 = 9,174,009.38 : x
  2. Step 2: Convert to fraction form
    6,116,401.13/9,174,009.38 = 9,174,009.38/x
  3. Step 3: Cross multiply
    6,116,401.13x = 9,174,009.38 × 9,174,009.38
  4. Step 4: Simplify right side
    6,116,401.13x = 84,162,448,012,587.89
  5. Step 5: Solve for x
    x = 84,162,448,012,587.89/6,116,401.13
  6. Step 6: Final answer
    x = 13,760,125.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.