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Finding the Third Proportional to 188,770,634,066 and 404,466,991,960

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Solution

The third proportional to 188,770,634,066 and 404,466,991,960 is: 866,626,042,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,770,634,066 : 404,466,991,960 = 404,466,991,960 : x
  2. Step 2: Convert to fraction form
    188,770,634,066/404,466,991,960 = 404,466,991,960/x
  3. Step 3: Cross multiply
    188,770,634,066x = 404,466,991,960 × 404,466,991,960
  4. Step 4: Simplify right side
    188,770,634,066x = 163,593,547,585,170,693,947,392
  5. Step 5: Solve for x
    x = 163,593,547,585,170,693,947,392/188,770,634,066
  6. Step 6: Final answer
    x = 866,626,042,734.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.