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Finding the Third Proportional to 10,034,738 and 21,364,036

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Solution

The third proportional to 10,034,738 and 21,364,036 is: 45,484,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034,738 : 21,364,036 = 21,364,036 : x
  2. Step 2: Convert to fraction form
    10,034,738/21,364,036 = 21,364,036/x
  3. Step 3: Cross multiply
    10,034,738x = 21,364,036 × 21,364,036
  4. Step 4: Simplify right side
    10,034,738x = 456,422,034,209,296
  5. Step 5: Solve for x
    x = 456,422,034,209,296/10,034,738
  6. Step 6: Final answer
    x = 45,484,200.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.