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Finding the Third Proportional to 3,537,436,567 and 7,571,798,902

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Solution

The third proportional to 3,537,436,567 and 7,571,798,902 is: 16,207,255,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537,436,567 : 7,571,798,902 = 7,571,798,902 : x
  2. Step 2: Convert to fraction form
    3,537,436,567/7,571,798,902 = 7,571,798,902/x
  3. Step 3: Cross multiply
    3,537,436,567x = 7,571,798,902 × 7,571,798,902
  4. Step 4: Simplify right side
    3,537,436,567x = 57,332,138,612,328,407,040
  5. Step 5: Solve for x
    x = 57,332,138,612,328,407,040/3,537,436,567
  6. Step 6: Final answer
    x = 16,207,255,600.61

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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.