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Finding the Third Proportional to 3,164,724 and 6,974,856

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Solution

The third proportional to 3,164,724 and 6,974,856 is: 15,372,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164,724 : 6,974,856 = 6,974,856 : x
  2. Step 2: Convert to fraction form
    3,164,724/6,974,856 = 6,974,856/x
  3. Step 3: Cross multiply
    3,164,724x = 6,974,856 × 6,974,856
  4. Step 4: Simplify right side
    3,164,724x = 48,648,616,220,736
  5. Step 5: Solve for x
    x = 48,648,616,220,736/3,164,724
  6. Step 6: Final answer
    x = 15,372,151.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.