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Finding the Third Proportional to 367,656,894 and 796,587,696

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Solution

The third proportional to 367,656,894 and 796,587,696 is: 1,725,935,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,656,894 : 796,587,696 = 796,587,696 : x
  2. Step 2: Convert to fraction form
    367,656,894/796,587,696 = 796,587,696/x
  3. Step 3: Cross multiply
    367,656,894x = 796,587,696 × 796,587,696
  4. Step 4: Simplify right side
    367,656,894x = 634,551,957,418,588,416
  5. Step 5: Solve for x
    x = 634,551,957,418,588,416/367,656,894
  6. Step 6: Final answer
    x = 1,725,935,152.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.