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Finding the Third Proportional to 3,537,436,569 and 7,571,798,906

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Solution

The third proportional to 3,537,436,569 and 7,571,798,906 is: 16,207,255,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537,436,569 : 7,571,798,906 = 7,571,798,906 : x
  2. Step 2: Convert to fraction form
    3,537,436,569/7,571,798,906 = 7,571,798,906/x
  3. Step 3: Cross multiply
    3,537,436,569x = 7,571,798,906 × 7,571,798,906
  4. Step 4: Simplify right side
    3,537,436,569x = 57,332,138,672,902,799,360
  5. Step 5: Solve for x
    x = 57,332,138,672,902,799,360/3,537,436,569
  6. Step 6: Final answer
    x = 16,207,255,608.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.