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Finding the Third Proportional to 637,681,587,114 and 1,405,342,990,688

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Solution

The third proportional to 637,681,587,114 and 1,405,342,990,688 is: 3,097,139,640,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,681,587,114 : 1,405,342,990,688 = 1,405,342,990,688 : x
  2. Step 2: Convert to fraction form
    637,681,587,114/1,405,342,990,688 = 1,405,342,990,688/x
  3. Step 3: Cross multiply
    637,681,587,114x = 1,405,342,990,688 × 1,405,342,990,688
  4. Step 4: Simplify right side
    637,681,587,114x = 1,974,988,921,475,892,143,718,400
  5. Step 5: Solve for x
    x = 1,974,988,921,475,892,143,718,400/637,681,587,114
  6. Step 6: Final answer
    x = 3,097,139,640,512.81

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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.