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Finding the Third Proportional to 6,829,369,203 and 15,229,031,743

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Solution

The third proportional to 6,829,369,203 and 15,229,031,743 is: 33,959,711,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,369,203 : 15,229,031,743 = 15,229,031,743 : x
  2. Step 2: Convert to fraction form
    6,829,369,203/15,229,031,743 = 15,229,031,743/x
  3. Step 3: Cross multiply
    6,829,369,203x = 15,229,031,743 × 15,229,031,743
  4. Step 4: Simplify right side
    6,829,369,203x = 231,923,407,829,301,624,832
  5. Step 5: Solve for x
    x = 231,923,407,829,301,624,832/6,829,369,203
  6. Step 6: Final answer
    x = 33,959,711,495.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.