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Finding the Third Proportional to 408,870,112.50 and 892,673,407.13

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Solution

The third proportional to 408,870,112.50 and 892,673,407.13 is: 1,948,946,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,870,112.50 : 892,673,407.13 = 892,673,407.13 : x
  2. Step 2: Convert to fraction form
    408,870,112.50/892,673,407.13 = 892,673,407.13/x
  3. Step 3: Cross multiply
    408,870,112.50x = 892,673,407.13 × 892,673,407.13
  4. Step 4: Simplify right side
    408,870,112.50x = 796,865,811,788,156,032
  5. Step 5: Solve for x
    x = 796,865,811,788,156,032/408,870,112.50
  6. Step 6: Final answer
    x = 1,948,946,101.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.