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Finding the Third Proportional to 6,721,544 and 14,749,408

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Solution

The third proportional to 6,721,544 and 14,749,408 is: 32,365,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721,544 : 14,749,408 = 14,749,408 : x
  2. Step 2: Convert to fraction form
    6,721,544/14,749,408 = 14,749,408/x
  3. Step 3: Cross multiply
    6,721,544x = 14,749,408 × 14,749,408
  4. Step 4: Simplify right side
    6,721,544x = 217,545,036,350,464
  5. Step 5: Solve for x
    x = 217,545,036,350,464/6,721,544
  6. Step 6: Final answer
    x = 32,365,336.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.