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Finding the Third Proportional to 727,730,274 and 1,188,192,159

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Solution

The third proportional to 727,730,274 and 1,188,192,159 is: 1,940,005,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,730,274 : 1,188,192,159 = 1,188,192,159 : x
  2. Step 2: Convert to fraction form
    727,730,274/1,188,192,159 = 1,188,192,159/x
  3. Step 3: Cross multiply
    727,730,274x = 1,188,192,159 × 1,188,192,159
  4. Step 4: Simplify right side
    727,730,274x = 1,411,800,606,709,081,344
  5. Step 5: Solve for x
    x = 1,411,800,606,709,081,344/727,730,274
  6. Step 6: Final answer
    x = 1,940,005,324.98

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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.