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Finding the Third Proportional to 7,125,408 and 10,749,024

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Solution

The third proportional to 7,125,408 and 10,749,024 is: 16,215,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125,408 : 10,749,024 = 10,749,024 : x
  2. Step 2: Convert to fraction form
    7,125,408/10,749,024 = 10,749,024/x
  3. Step 3: Cross multiply
    7,125,408x = 10,749,024 × 10,749,024
  4. Step 4: Simplify right side
    7,125,408x = 115,541,516,952,576
  5. Step 5: Solve for x
    x = 115,541,516,952,576/7,125,408
  6. Step 6: Final answer
    x = 16,215,424.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.