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Finding the Third Proportional to 6,175,369.13 and 9,599,365.69

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Solution

The third proportional to 6,175,369.13 and 9,599,365.69 is: 14,921,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175,369.13 : 9,599,365.69 = 9,599,365.69 : x
  2. Step 2: Convert to fraction form
    6,175,369.13/9,599,365.69 = 9,599,365.69/x
  3. Step 3: Cross multiply
    6,175,369.13x = 9,599,365.69 × 9,599,365.69
  4. Step 4: Simplify right side
    6,175,369.13x = 92,147,821,602,352.34
  5. Step 5: Solve for x
    x = 92,147,821,602,352.34/6,175,369.13
  6. Step 6: Final answer
    x = 14,921,832.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.