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Finding the Third Proportional to 10,895,706 and 16,285,329

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Solution

The third proportional to 10,895,706 and 16,285,329 is: 24,340,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895,706 : 16,285,329 = 16,285,329 : x
  2. Step 2: Convert to fraction form
    10,895,706/16,285,329 = 16,285,329/x
  3. Step 3: Cross multiply
    10,895,706x = 16,285,329 × 16,285,329
  4. Step 4: Simplify right side
    10,895,706x = 265,211,940,638,241
  5. Step 5: Solve for x
    x = 265,211,940,638,241/10,895,706
  6. Step 6: Final answer
    x = 24,340,959.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.