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Finding the Third Proportional to 12,838,668 and 27,699,600

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Solution

The third proportional to 12,838,668 and 27,699,600 is: 59,762,261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838,668 : 27,699,600 = 27,699,600 : x
  2. Step 2: Convert to fraction form
    12,838,668/27,699,600 = 27,699,600/x
  3. Step 3: Cross multiply
    12,838,668x = 27,699,600 × 27,699,600
  4. Step 4: Simplify right side
    12,838,668x = 767,267,840,160,000
  5. Step 5: Solve for x
    x = 767,267,840,160,000/12,838,668
  6. Step 6: Final answer
    x = 59,762,261.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.