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Finding the Third Proportional to 10,154,046 and 21,147,900

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Solution

The third proportional to 10,154,046 and 21,147,900 is: 44,044,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154,046 : 21,147,900 = 21,147,900 : x
  2. Step 2: Convert to fraction form
    10,154,046/21,147,900 = 21,147,900/x
  3. Step 3: Cross multiply
    10,154,046x = 21,147,900 × 21,147,900
  4. Step 4: Simplify right side
    10,154,046x = 447,233,674,410,000
  5. Step 5: Solve for x
    x = 447,233,674,410,000/10,154,046
  6. Step 6: Final answer
    x = 44,044,873.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.