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Finding the Third Proportional to 6,851,537,791 and 10,902,143,548

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Solution

The third proportional to 6,851,537,791 and 10,902,143,548 is: 17,347,453,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851,537,791 : 10,902,143,548 = 10,902,143,548 : x
  2. Step 2: Convert to fraction form
    6,851,537,791/10,902,143,548 = 10,902,143,548/x
  3. Step 3: Cross multiply
    6,851,537,791x = 10,902,143,548 × 10,902,143,548
  4. Step 4: Simplify right side
    6,851,537,791x = 118,856,733,941,198,028,800
  5. Step 5: Solve for x
    x = 118,856,733,941,198,028,800/6,851,537,791
  6. Step 6: Final answer
    x = 17,347,453,603.38

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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.