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Finding the Third Proportional to 10,012,410 and 21,441,996

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Solution

The third proportional to 10,012,410 and 21,441,996 is: 45,918,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012,410 : 21,441,996 = 21,441,996 : x
  2. Step 2: Convert to fraction form
    10,012,410/21,441,996 = 21,441,996/x
  3. Step 3: Cross multiply
    10,012,410x = 21,441,996 × 21,441,996
  4. Step 4: Simplify right side
    10,012,410x = 459,759,192,464,016
  5. Step 5: Solve for x
    x = 459,759,192,464,016/10,012,410
  6. Step 6: Final answer
    x = 45,918,933.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.