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Finding the Third Proportional to 6,851,537,698 and 10,902,143,382

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Solution

The third proportional to 6,851,537,698 and 10,902,143,382 is: 17,347,453,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851,537,698 : 10,902,143,382 = 10,902,143,382 : x
  2. Step 2: Convert to fraction form
    6,851,537,698/10,902,143,382 = 10,902,143,382/x
  3. Step 3: Cross multiply
    6,851,537,698x = 10,902,143,382 × 10,902,143,382
  4. Step 4: Simplify right side
    6,851,537,698x = 118,856,730,321,686,396,928
  5. Step 5: Solve for x
    x = 118,856,730,321,686,396,928/6,851,537,698
  6. Step 6: Final answer
    x = 17,347,453,310.57

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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.