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Finding the Third Proportional to 9,756,960 and 14,285,520

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Solution

The third proportional to 9,756,960 and 14,285,520 is: 20,915,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756,960 : 14,285,520 = 14,285,520 : x
  2. Step 2: Convert to fraction form
    9,756,960/14,285,520 = 14,285,520/x
  3. Step 3: Cross multiply
    9,756,960x = 14,285,520 × 14,285,520
  4. Step 4: Simplify right side
    9,756,960x = 204,076,081,670,400
  5. Step 5: Solve for x
    x = 204,076,081,670,400/9,756,960
  6. Step 6: Final answer
    x = 20,915,949.40

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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.