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Finding the Third Proportional to 6,374,575,679 and 13,644,627,726

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Solution

The third proportional to 6,374,575,679 and 13,644,627,726 is: 29,206,001,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374,575,679 : 13,644,627,726 = 13,644,627,726 : x
  2. Step 2: Convert to fraction form
    6,374,575,679/13,644,627,726 = 13,644,627,726/x
  3. Step 3: Cross multiply
    6,374,575,679x = 13,644,627,726 × 13,644,627,726
  4. Step 4: Simplify right side
    6,374,575,679x = 186,175,865,781,127,938,048
  5. Step 5: Solve for x
    x = 186,175,865,781,127,938,048/6,374,575,679
  6. Step 6: Final answer
    x = 29,206,001,333.46

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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.