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Finding the Third Proportional to 20,918,201 and 45,197,589

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Solution

The third proportional to 20,918,201 and 45,197,589 is: 97,657,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,918,201 : 45,197,589 = 45,197,589 : x
  2. Step 2: Convert to fraction form
    20,918,201/45,197,589 = 45,197,589/x
  3. Step 3: Cross multiply
    20,918,201x = 45,197,589 × 45,197,589
  4. Step 4: Simplify right side
    20,918,201x = 2,042,822,051,412,921
  5. Step 5: Solve for x
    x = 2,042,822,051,412,921/20,918,201
  6. Step 6: Final answer
    x = 97,657,635.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.