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Finding the Third Proportional to 1,249,172,655 and 1,940,472,987

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Solution

The third proportional to 1,249,172,655 and 1,940,472,987 is: 3,014,343,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,172,655 : 1,940,472,987 = 1,940,472,987 : x
  2. Step 2: Convert to fraction form
    1,249,172,655/1,940,472,987 = 1,940,472,987/x
  3. Step 3: Cross multiply
    1,249,172,655x = 1,940,472,987 × 1,940,472,987
  4. Step 4: Simplify right side
    1,249,172,655x = 3,765,435,413,276,702,208
  5. Step 5: Solve for x
    x = 3,765,435,413,276,702,208/1,249,172,655
  6. Step 6: Final answer
    x = 3,014,343,452.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.