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Finding the Third Proportional to 4,706,630 and 10,276,400

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Solution

The third proportional to 4,706,630 and 10,276,400 is: 22,437,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706,630 : 10,276,400 = 10,276,400 : x
  2. Step 2: Convert to fraction form
    4,706,630/10,276,400 = 10,276,400/x
  3. Step 3: Cross multiply
    4,706,630x = 10,276,400 × 10,276,400
  4. Step 4: Simplify right side
    4,706,630x = 105,604,396,960,000
  5. Step 5: Solve for x
    x = 105,604,396,960,000/4,706,630
  6. Step 6: Final answer
    x = 22,437,369.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.