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Finding the Third Proportional to 7,372,468.13 and 11,540,206.69

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Solution

The third proportional to 7,372,468.13 and 11,540,206.69 is: 18,064,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,372,468.13 : 11,540,206.69 = 11,540,206.69 : x
  2. Step 2: Convert to fraction form
    7,372,468.13/11,540,206.69 = 11,540,206.69/x
  3. Step 3: Cross multiply
    7,372,468.13x = 11,540,206.69 × 11,540,206.69
  4. Step 4: Simplify right side
    7,372,468.13x = 133,176,370,390,219.72
  5. Step 5: Solve for x
    x = 133,176,370,390,219.72/7,372,468.13
  6. Step 6: Final answer
    x = 18,064,014.40

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.