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Finding the Third Proportional to 9,657,808 and 20,467,071

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Solution

The third proportional to 9,657,808 and 20,467,071 is: 43,374,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,808 : 20,467,071 = 20,467,071 : x
  2. Step 2: Convert to fraction form
    9,657,808/20,467,071 = 20,467,071/x
  3. Step 3: Cross multiply
    9,657,808x = 20,467,071 × 20,467,071
  4. Step 4: Simplify right side
    9,657,808x = 418,900,995,319,041
  5. Step 5: Solve for x
    x = 418,900,995,319,041/9,657,808
  6. Step 6: Final answer
    x = 43,374,334.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.