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Finding the Third Proportional to 637,681,587,105 and 1,405,342,990,671

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Solution

The third proportional to 637,681,587,105 and 1,405,342,990,671 is: 3,097,139,640,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,681,587,105 : 1,405,342,990,671 = 1,405,342,990,671 : x
  2. Step 2: Convert to fraction form
    637,681,587,105/1,405,342,990,671 = 1,405,342,990,671/x
  3. Step 3: Cross multiply
    637,681,587,105x = 1,405,342,990,671 × 1,405,342,990,671
  4. Step 4: Simplify right side
    637,681,587,105x = 1,974,988,921,428,110,364,114,944
  5. Step 5: Solve for x
    x = 1,974,988,921,428,110,364,114,944/637,681,587,105
  6. Step 6: Final answer
    x = 3,097,139,640,481.59

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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.