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Finding the Third Proportional to 6,829,369,206 and 15,229,031,748

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Solution

The third proportional to 6,829,369,206 and 15,229,031,748 is: 33,959,711,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,369,206 : 15,229,031,748 = 15,229,031,748 : x
  2. Step 2: Convert to fraction form
    6,829,369,206/15,229,031,748 = 15,229,031,748/x
  3. Step 3: Cross multiply
    6,829,369,206x = 15,229,031,748 × 15,229,031,748
  4. Step 4: Simplify right side
    6,829,369,206x = 231,923,407,981,591,920,640
  5. Step 5: Solve for x
    x = 231,923,407,981,591,920,640/6,829,369,206
  6. Step 6: Final answer
    x = 33,959,711,502.76

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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.