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Finding the Third Proportional to 2,930,800 and 6,176,480

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Solution

The third proportional to 2,930,800 and 6,176,480 is: 13,016,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930,800 : 6,176,480 = 6,176,480 : x
  2. Step 2: Convert to fraction form
    2,930,800/6,176,480 = 6,176,480/x
  3. Step 3: Cross multiply
    2,930,800x = 6,176,480 × 6,176,480
  4. Step 4: Simplify right side
    2,930,800x = 38,148,905,190,400
  5. Step 5: Solve for x
    x = 38,148,905,190,400/2,930,800
  6. Step 6: Final answer
    x = 13,016,550.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.