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Finding the Third Proportional to 547,516,908 and 1,217,447,172

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Solution

The third proportional to 547,516,908 and 1,217,447,172 is: 2,707,090,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,516,908 : 1,217,447,172 = 1,217,447,172 : x
  2. Step 2: Convert to fraction form
    547,516,908/1,217,447,172 = 1,217,447,172/x
  3. Step 3: Cross multiply
    547,516,908x = 1,217,447,172 × 1,217,447,172
  4. Step 4: Simplify right side
    547,516,908x = 1,482,177,616,610,797,568
  5. Step 5: Solve for x
    x = 1,482,177,616,610,797,568/547,516,908
  6. Step 6: Final answer
    x = 2,707,090,128.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.