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Finding the Third Proportional to 14,017,384.13 and 20,493,906.19

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Solution

The third proportional to 14,017,384.13 and 20,493,906.19 is: 29,962,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017,384.13 : 20,493,906.19 = 20,493,906.19 : x
  2. Step 2: Convert to fraction form
    14,017,384.13/20,493,906.19 = 20,493,906.19/x
  3. Step 3: Cross multiply
    14,017,384.13x = 20,493,906.19 × 20,493,906.19
  4. Step 4: Simplify right side
    14,017,384.13x = 420,000,190,822,050.81
  5. Step 5: Solve for x
    x = 420,000,190,822,050.81/14,017,384.13
  6. Step 6: Final answer
    x = 29,962,808.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.