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Finding the Third Proportional to 12,769,651,914 and 29,835,668,766

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Solution

The third proportional to 12,769,651,914 and 29,835,668,766 is: 69,709,584,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769,651,914 : 29,835,668,766 = 29,835,668,766 : x
  2. Step 2: Convert to fraction form
    12,769,651,914/29,835,668,766 = 29,835,668,766/x
  3. Step 3: Cross multiply
    12,769,651,914x = 29,835,668,766 × 29,835,668,766
  4. Step 4: Simplify right side
    12,769,651,914x = 890,167,130,714,467,991,552
  5. Step 5: Solve for x
    x = 890,167,130,714,467,991,552/12,769,651,914
  6. Step 6: Final answer
    x = 69,709,584,623.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.