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Finding the Third Proportional to 10,955,306 and 16,027,311

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Solution

The third proportional to 10,955,306 and 16,027,311 is: 23,447,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955,306 : 16,027,311 = 16,027,311 : x
  2. Step 2: Convert to fraction form
    10,955,306/16,027,311 = 16,027,311/x
  3. Step 3: Cross multiply
    10,955,306x = 16,027,311 × 16,027,311
  4. Step 4: Simplify right side
    10,955,306x = 256,874,697,890,721
  5. Step 5: Solve for x
    x = 256,874,697,890,721/10,955,306
  6. Step 6: Final answer
    x = 23,447,514.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.