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Finding the Third Proportional to 30,258,823,974 and 66,217,747,103

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Solution

The third proportional to 30,258,823,974 and 66,217,747,103 is: 144,909,466,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258,823,974 : 66,217,747,103 = 66,217,747,103 : x
  2. Step 2: Convert to fraction form
    30,258,823,974/66,217,747,103 = 66,217,747,103/x
  3. Step 3: Cross multiply
    30,258,823,974x = 66,217,747,103 × 66,217,747,103
  4. Step 4: Simplify right side
    30,258,823,974x = 4,384,790,031,396,864,786,432
  5. Step 5: Solve for x
    x = 4,384,790,031,396,864,786,432/30,258,823,974
  6. Step 6: Final answer
    x = 144,909,466,249.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.