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Finding the Third Proportional to 6,851,537,706 and 10,902,143,394

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Solution

The third proportional to 6,851,537,706 and 10,902,143,394 is: 17,347,453,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851,537,706 : 10,902,143,394 = 10,902,143,394 : x
  2. Step 2: Convert to fraction form
    6,851,537,706/10,902,143,394 = 10,902,143,394/x
  3. Step 3: Cross multiply
    6,851,537,706x = 10,902,143,394 × 10,902,143,394
  4. Step 4: Simplify right side
    6,851,537,706x = 118,856,730,583,337,844,736
  5. Step 5: Solve for x
    x = 118,856,730,583,337,844,736/6,851,537,706
  6. Step 6: Final answer
    x = 17,347,453,328.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.