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Finding the Third Proportional to 1,270,249,537 and 2,751,575,259

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Solution

The third proportional to 1,270,249,537 and 2,751,575,259 is: 5,960,377,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,249,537 : 2,751,575,259 = 2,751,575,259 : x
  2. Step 2: Convert to fraction form
    1,270,249,537/2,751,575,259 = 2,751,575,259/x
  3. Step 3: Cross multiply
    1,270,249,537x = 2,751,575,259 × 2,751,575,259
  4. Step 4: Simplify right side
    1,270,249,537x = 7,571,166,405,940,917,248
  5. Step 5: Solve for x
    x = 7,571,166,405,940,917,248/1,270,249,537
  6. Step 6: Final answer
    x = 5,960,377,221.49

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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.