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Finding the Third Proportional to 8,235,549 and 12,767,396

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Solution

The third proportional to 8,235,549 and 12,767,396 is: 19,793,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235,549 : 12,767,396 = 12,767,396 : x
  2. Step 2: Convert to fraction form
    8,235,549/12,767,396 = 12,767,396/x
  3. Step 3: Cross multiply
    8,235,549x = 12,767,396 × 12,767,396
  4. Step 4: Simplify right side
    8,235,549x = 163,006,400,620,816
  5. Step 5: Solve for x
    x = 163,006,400,620,816/8,235,549
  6. Step 6: Final answer
    x = 19,793,021.77

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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.