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Finding the Third Proportional to 7,730,436 and 16,396,296

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Solution

The third proportional to 7,730,436 and 16,396,296 is: 34,776,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730,436 : 16,396,296 = 16,396,296 : x
  2. Step 2: Convert to fraction form
    7,730,436/16,396,296 = 16,396,296/x
  3. Step 3: Cross multiply
    7,730,436x = 16,396,296 × 16,396,296
  4. Step 4: Simplify right side
    7,730,436x = 268,838,522,519,616
  5. Step 5: Solve for x
    x = 268,838,522,519,616/7,730,436
  6. Step 6: Final answer
    x = 34,776,631.29

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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.