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Finding the Third Proportional to 1,270,249,689.38 and 2,751,575,563.69

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Solution

The third proportional to 1,270,249,689.38 and 2,751,575,563.69 is: 5,960,377,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,249,689.38 : 2,751,575,563.69 = 2,751,575,563.69 : x
  2. Step 2: Convert to fraction form
    1,270,249,689.38/2,751,575,563.69 = 2,751,575,563.69/x
  3. Step 3: Cross multiply
    1,270,249,689.38x = 2,751,575,563.69 × 2,751,575,563.69
  4. Step 4: Simplify right side
    1,270,249,689.38x = 7,571,168,082,682,183,680
  5. Step 5: Solve for x
    x = 7,571,168,082,682,183,680/1,270,249,689.38
  6. Step 6: Final answer
    x = 5,960,377,826.51

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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.