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Finding the Third Proportional to 42,227,971 and 65,281,154

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Solution

The third proportional to 42,227,971 and 65,281,154 is: 100,919,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,227,971 : 65,281,154 = 65,281,154 : x
  2. Step 2: Convert to fraction form
    42,227,971/65,281,154 = 65,281,154/x
  3. Step 3: Cross multiply
    42,227,971x = 65,281,154 × 65,281,154
  4. Step 4: Simplify right side
    42,227,971x = 4,261,629,067,571,716
  5. Step 5: Solve for x
    x = 4,261,629,067,571,716/42,227,971
  6. Step 6: Final answer
    x = 100,919,579.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.