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Finding the Third Proportional to 1,293,710,351 and 2,814,092,109

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Solution

The third proportional to 1,293,710,351 and 2,814,092,109 is: 6,121,242,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,710,351 : 2,814,092,109 = 2,814,092,109 : x
  2. Step 2: Convert to fraction form
    1,293,710,351/2,814,092,109 = 2,814,092,109/x
  3. Step 3: Cross multiply
    1,293,710,351x = 2,814,092,109 × 2,814,092,109
  4. Step 4: Simplify right side
    1,293,710,351x = 7,919,114,397,936,067,584
  5. Step 5: Solve for x
    x = 7,919,114,397,936,067,584/1,293,710,351
  6. Step 6: Final answer
    x = 6,121,242,202.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.