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Finding the Third Proportional to 6,442,301.38 and 13,806,799

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Solution

The third proportional to 6,442,301.38 and 13,806,799 is: 29,590,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442,301.38 : 13,806,799 = 13,806,799 : x
  2. Step 2: Convert to fraction form
    6,442,301.38/13,806,799 = 13,806,799/x
  3. Step 3: Cross multiply
    6,442,301.38x = 13,806,799 × 13,806,799
  4. Step 4: Simplify right side
    6,442,301.38x = 190,627,698,626,401
  5. Step 5: Solve for x
    x = 190,627,698,626,401/6,442,301.38
  6. Step 6: Final answer
    x = 29,590,000.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.