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Finding the Third Proportional to 637,681,587,118 and 1,405,342,990,696

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Solution

The third proportional to 637,681,587,118 and 1,405,342,990,696 is: 3,097,139,640,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,681,587,118 : 1,405,342,990,696 = 1,405,342,990,696 : x
  2. Step 2: Convert to fraction form
    637,681,587,118/1,405,342,990,696 = 1,405,342,990,696/x
  3. Step 3: Cross multiply
    637,681,587,118x = 1,405,342,990,696 × 1,405,342,990,696
  4. Step 4: Simplify right side
    637,681,587,118x = 1,974,988,921,498,377,639,690,240
  5. Step 5: Solve for x
    x = 1,974,988,921,498,377,639,690,240/637,681,587,118
  6. Step 6: Final answer
    x = 3,097,139,640,528.64

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Why These Related Problems?

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