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Finding the Third Proportional to 12,769,651,909 and 29,835,668,756

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Solution

The third proportional to 12,769,651,909 and 29,835,668,756 is: 69,709,584,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769,651,909 : 29,835,668,756 = 29,835,668,756 : x
  2. Step 2: Convert to fraction form
    12,769,651,909/29,835,668,756 = 29,835,668,756/x
  3. Step 3: Cross multiply
    12,769,651,909x = 29,835,668,756 × 29,835,668,756
  4. Step 4: Simplify right side
    12,769,651,909x = 890,167,130,117,754,585,088
  5. Step 5: Solve for x
    x = 890,167,130,117,754,585,088/12,769,651,909
  6. Step 6: Final answer
    x = 69,709,584,604.29

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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.