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Finding the Third Proportional to 363,865,137 and 594,096,079.50

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Solution

The third proportional to 363,865,137 and 594,096,079.50 is: 970,002,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,865,137 : 594,096,079.50 = 594,096,079.50 : x
  2. Step 2: Convert to fraction form
    363,865,137/594,096,079.50 = 594,096,079.50/x
  3. Step 3: Cross multiply
    363,865,137x = 594,096,079.50 × 594,096,079.50
  4. Step 4: Simplify right side
    363,865,137x = 352,950,151,677,270,336
  5. Step 5: Solve for x
    x = 352,950,151,677,270,336/363,865,137
  6. Step 6: Final answer
    x = 970,002,662.49

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.