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Finding the Third Proportional to 6,749,940 and 10,454,436

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Solution

The third proportional to 6,749,940 and 10,454,436 is: 16,192,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749,940 : 10,454,436 = 10,454,436 : x
  2. Step 2: Convert to fraction form
    6,749,940/10,454,436 = 10,454,436/x
  3. Step 3: Cross multiply
    6,749,940x = 10,454,436 × 10,454,436
  4. Step 4: Simplify right side
    6,749,940x = 109,295,232,078,096
  5. Step 5: Solve for x
    x = 109,295,232,078,096/6,749,940
  6. Step 6: Final answer
    x = 16,192,030.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.