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Finding the Third Proportional to 3,699,829,093 and 5,447,549,503

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Solution

The third proportional to 3,699,829,093 and 5,447,549,503 is: 8,020,855,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,829,093 : 5,447,549,503 = 5,447,549,503 : x
  2. Step 2: Convert to fraction form
    3,699,829,093/5,447,549,503 = 5,447,549,503/x
  3. Step 3: Cross multiply
    3,699,829,093x = 5,447,549,503 × 5,447,549,503
  4. Step 4: Simplify right side
    3,699,829,093x = 29,675,795,587,635,548,160
  5. Step 5: Solve for x
    x = 29,675,795,587,635,548,160/3,699,829,093
  6. Step 6: Final answer
    x = 8,020,855,785.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.