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Finding the Third Proportional to 33,243,793,404,178 and 71,490,663,402,380

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Solution

The third proportional to 33,243,793,404,178 and 71,490,663,402,380 is: 153,740,425,816,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243,793,404,178 : 71,490,663,402,380 = 71,490,663,402,380 : x
  2. Step 2: Convert to fraction form
    33,243,793,404,178/71,490,663,402,380 = 71,490,663,402,380/x
  3. Step 3: Cross multiply
    33,243,793,404,178x = 71,490,663,402,380 × 71,490,663,402,380
  4. Step 4: Simplify right side
    33,243,793,404,178x = 5,110,914,953,712,394,978,201,698,304
  5. Step 5: Solve for x
    x = 5,110,914,953,712,394,978,201,698,304/33,243,793,404,178
  6. Step 6: Final answer
    x = 153,740,425,816,449.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.