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Finding the Third Proportional to 6,829,369,205 and 15,229,031,747

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Solution

The third proportional to 6,829,369,205 and 15,229,031,747 is: 33,959,711,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,369,205 : 15,229,031,747 = 15,229,031,747 : x
  2. Step 2: Convert to fraction form
    6,829,369,205/15,229,031,747 = 15,229,031,747/x
  3. Step 3: Cross multiply
    6,829,369,205x = 15,229,031,747 × 15,229,031,747
  4. Step 4: Simplify right side
    6,829,369,205x = 231,923,407,951,133,868,032
  5. Step 5: Solve for x
    x = 231,923,407,951,133,868,032/6,829,369,205
  6. Step 6: Final answer
    x = 33,959,711,503.27

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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.