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Finding the Third Proportional to 989,177,949 and 1,530,251,487

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Solution

The third proportional to 989,177,949 and 1,530,251,487 is: 2,367,288,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,177,949 : 1,530,251,487 = 1,530,251,487 : x
  2. Step 2: Convert to fraction form
    989,177,949/1,530,251,487 = 1,530,251,487/x
  3. Step 3: Cross multiply
    989,177,949x = 1,530,251,487 × 1,530,251,487
  4. Step 4: Simplify right side
    989,177,949x = 2,341,669,613,465,711,104
  5. Step 5: Solve for x
    x = 2,341,669,613,465,711,104/989,177,949
  6. Step 6: Final answer
    x = 2,367,288,530.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.