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Finding the Third Proportional to 127,711,811 and 197,312,601

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Solution

The third proportional to 127,711,811 and 197,312,601 is: 304,844,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,711,811 : 197,312,601 = 197,312,601 : x
  2. Step 2: Convert to fraction form
    127,711,811/197,312,601 = 197,312,601/x
  3. Step 3: Cross multiply
    127,711,811x = 197,312,601 × 197,312,601
  4. Step 4: Simplify right side
    127,711,811x = 38,932,262,513,385,200
  5. Step 5: Solve for x
    x = 38,932,262,513,385,200/127,711,811
  6. Step 6: Final answer
    x = 304,844,651.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.