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Finding the Third Proportional to 6,715,602,252 and 14,374,587,014

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Solution

The third proportional to 6,715,602,252 and 14,374,587,014 is: 30,768,461,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715,602,252 : 14,374,587,014 = 14,374,587,014 : x
  2. Step 2: Convert to fraction form
    6,715,602,252/14,374,587,014 = 14,374,587,014/x
  3. Step 3: Cross multiply
    6,715,602,252x = 14,374,587,014 × 14,374,587,014
  4. Step 4: Simplify right side
    6,715,602,252x = 206,628,751,823,057,420,288
  5. Step 5: Solve for x
    x = 206,628,751,823,057,420,288/6,715,602,252
  6. Step 6: Final answer
    x = 30,768,461,869.75

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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.