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Finding the Third Proportional to 637,681,587,124 and 1,405,342,990,704

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Solution

The third proportional to 637,681,587,124 and 1,405,342,990,704 is: 3,097,139,640,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,681,587,124 : 1,405,342,990,704 = 1,405,342,990,704 : x
  2. Step 2: Convert to fraction form
    637,681,587,124/1,405,342,990,704 = 1,405,342,990,704/x
  3. Step 3: Cross multiply
    637,681,587,124x = 1,405,342,990,704 × 1,405,342,990,704
  4. Step 4: Simplify right side
    637,681,587,124x = 1,974,988,921,520,863,135,662,080
  5. Step 5: Solve for x
    x = 1,974,988,921,520,863,135,662,080/637,681,587,124
  6. Step 6: Final answer
    x = 3,097,139,640,534.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.