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Finding the Third Proportional to 637,681,587,084 and 1,405,342,990,628

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Solution

The third proportional to 637,681,587,084 and 1,405,342,990,628 is: 3,097,139,640,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,681,587,084 : 1,405,342,990,628 = 1,405,342,990,628 : x
  2. Step 2: Convert to fraction form
    637,681,587,084/1,405,342,990,628 = 1,405,342,990,628/x
  3. Step 3: Cross multiply
    637,681,587,084x = 1,405,342,990,628 × 1,405,342,990,628
  4. Step 4: Simplify right side
    637,681,587,084x = 1,974,988,921,307,250,789,711,872
  5. Step 5: Solve for x
    x = 1,974,988,921,307,250,789,711,872/637,681,587,084
  6. Step 6: Final answer
    x = 3,097,139,640,394.06

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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.