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Finding the Third Proportional to 188,770,634,064 and 404,466,991,956

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Solution

The third proportional to 188,770,634,064 and 404,466,991,956 is: 866,626,042,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,770,634,064 : 404,466,991,956 = 404,466,991,956 : x
  2. Step 2: Convert to fraction form
    188,770,634,064/404,466,991,956 = 404,466,991,956/x
  3. Step 3: Cross multiply
    188,770,634,064x = 404,466,991,956 × 404,466,991,956
  4. Step 4: Simplify right side
    188,770,634,064x = 163,593,547,581,934,972,960,768
  5. Step 5: Solve for x
    x = 163,593,547,581,934,972,960,768/188,770,634,064
  6. Step 6: Final answer
    x = 866,626,042,726.92

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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.