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Finding the Third Proportional to 10,258,081 and 22,218,433

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Solution

The third proportional to 10,258,081 and 22,218,433 is: 48,123,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258,081 : 22,218,433 = 22,218,433 : x
  2. Step 2: Convert to fraction form
    10,258,081/22,218,433 = 22,218,433/x
  3. Step 3: Cross multiply
    10,258,081x = 22,218,433 × 22,218,433
  4. Step 4: Simplify right side
    10,258,081x = 493,658,764,975,489
  5. Step 5: Solve for x
    x = 493,658,764,975,489/10,258,081
  6. Step 6: Final answer
    x = 48,123,890.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.