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Finding the Third Proportional to 14,349,096 and 21,789,351

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Solution

The third proportional to 14,349,096 and 21,789,351 is: 33,087,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349,096 : 21,789,351 = 21,789,351 : x
  2. Step 2: Convert to fraction form
    14,349,096/21,789,351 = 21,789,351/x
  3. Step 3: Cross multiply
    14,349,096x = 21,789,351 × 21,789,351
  4. Step 4: Simplify right side
    14,349,096x = 474,775,817,001,201
  5. Step 5: Solve for x
    x = 474,775,817,001,201/14,349,096
  6. Step 6: Final answer
    x = 33,087,507.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.