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Finding the Third Proportional to 10,707,466 and 16,312,147

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Solution

The third proportional to 10,707,466 and 16,312,147 is: 24,850,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707,466 : 16,312,147 = 16,312,147 : x
  2. Step 2: Convert to fraction form
    10,707,466/16,312,147 = 16,312,147/x
  3. Step 3: Cross multiply
    10,707,466x = 16,312,147 × 16,312,147
  4. Step 4: Simplify right side
    10,707,466x = 266,086,139,749,609
  5. Step 5: Solve for x
    x = 266,086,139,749,609/10,707,466
  6. Step 6: Final answer
    x = 24,850,523.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.