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Finding the Third Proportional to 6,043,423.50 and 9,371,494.13

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Solution

The third proportional to 6,043,423.50 and 9,371,494.13 is: 14,532,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043,423.50 : 9,371,494.13 = 9,371,494.13 : x
  2. Step 2: Convert to fraction form
    6,043,423.50/9,371,494.13 = 9,371,494.13/x
  3. Step 3: Cross multiply
    6,043,423.50x = 9,371,494.13 × 9,371,494.13
  4. Step 4: Simplify right side
    6,043,423.50x = 87,824,902,134,909.52
  5. Step 5: Solve for x
    x = 87,824,902,134,909.52/6,043,423.50
  6. Step 6: Final answer
    x = 14,532,309.73

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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.