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Finding the Third Proportional to 6,374,575,675 and 13,644,627,718

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Solution

The third proportional to 6,374,575,675 and 13,644,627,718 is: 29,206,001,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374,575,675 : 13,644,627,718 = 13,644,627,718 : x
  2. Step 2: Convert to fraction form
    6,374,575,675/13,644,627,718 = 13,644,627,718/x
  3. Step 3: Cross multiply
    6,374,575,675x = 13,644,627,718 × 13,644,627,718
  4. Step 4: Simplify right side
    6,374,575,675x = 186,175,865,562,813,890,560
  5. Step 5: Solve for x
    x = 186,175,865,562,813,890,560/6,374,575,675
  6. Step 6: Final answer
    x = 29,206,001,317.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.