Home / 10,294,014.09-13,723,740.14

Finding the Third Proportional to 10,294,014.09 and 13,723,740.14

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Solution

The third proportional to 10,294,014.09 and 13,723,740.14 is: 18,296,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294,014.09 : 13,723,740.14 = 13,723,740.14 : x
  2. Step 2: Convert to fraction form
    10,294,014.09/13,723,740.14 = 13,723,740.14/x
  3. Step 3: Cross multiply
    10,294,014.09x = 13,723,740.14 × 13,723,740.14
  4. Step 4: Simplify right side
    10,294,014.09x = 188,341,043,447,401.91
  5. Step 5: Solve for x
    x = 188,341,043,447,401.91/10,294,014.09
  6. Step 6: Final answer
    x = 18,296,171.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.