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Finding the Third Proportional to 7,675,156 and 16,792,364

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Solution

The third proportional to 7,675,156 and 16,792,364 is: 36,739,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675,156 : 16,792,364 = 16,792,364 : x
  2. Step 2: Convert to fraction form
    7,675,156/16,792,364 = 16,792,364/x
  3. Step 3: Cross multiply
    7,675,156x = 16,792,364 × 16,792,364
  4. Step 4: Simplify right side
    7,675,156x = 281,983,488,708,496
  5. Step 5: Solve for x
    x = 281,983,488,708,496/7,675,156
  6. Step 6: Final answer
    x = 36,739,772.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.