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Finding the Third Proportional to 1,720,954,100 and 3,803,657,504

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Solution

The third proportional to 1,720,954,100 and 3,803,657,504 is: 8,406,854,318.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720,954,100 : 3,803,657,504 = 3,803,657,504 : x
  2. Step 2: Convert to fraction form
    1,720,954,100/3,803,657,504 = 3,803,657,504/x
  3. Step 3: Cross multiply
    1,720,954,100x = 3,803,657,504 × 3,803,657,504
  4. Step 4: Simplify right side
    1,720,954,100x = 14,467,810,407,735,508,992
  5. Step 5: Solve for x
    x = 14,467,810,407,735,508,992/1,720,954,100
  6. Step 6: Final answer
    x = 8,406,854,318.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.