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Finding the Third Proportional to 7,944,960 and 16,843,248

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Solution

The third proportional to 7,944,960 and 16,843,248 is: 35,707,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944,960 : 16,843,248 = 16,843,248 : x
  2. Step 2: Convert to fraction form
    7,944,960/16,843,248 = 16,843,248/x
  3. Step 3: Cross multiply
    7,944,960x = 16,843,248 × 16,843,248
  4. Step 4: Simplify right side
    7,944,960x = 283,695,003,189,504
  5. Step 5: Solve for x
    x = 283,695,003,189,504/7,944,960
  6. Step 6: Final answer
    x = 35,707,543.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.