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Finding the Third Proportional to 3,730,168.69 and 5,609,094.19

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Solution

The third proportional to 3,730,168.69 and 5,609,094.19 is: 8,434,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730,168.69 : 5,609,094.19 = 5,609,094.19 : x
  2. Step 2: Convert to fraction form
    3,730,168.69/5,609,094.19 = 5,609,094.19/x
  3. Step 3: Cross multiply
    3,730,168.69x = 5,609,094.19 × 5,609,094.19
  4. Step 4: Simplify right side
    3,730,168.69x = 31,461,937,604,246.29
  5. Step 5: Solve for x
    x = 31,461,937,604,246.29/3,730,168.69
  6. Step 6: Final answer
    x = 8,434,454.37

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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.