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Finding the Third Proportional to 9,657,974 and 20,467,403

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Solution

The third proportional to 9,657,974 and 20,467,403 is: 43,374,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,974 : 20,467,403 = 20,467,403 : x
  2. Step 2: Convert to fraction form
    9,657,974/20,467,403 = 20,467,403/x
  3. Step 3: Cross multiply
    9,657,974x = 20,467,403 × 20,467,403
  4. Step 4: Simplify right side
    9,657,974x = 418,914,585,564,409
  5. Step 5: Solve for x
    x = 418,914,585,564,409/9,657,974
  6. Step 6: Final answer
    x = 43,374,996.20

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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.