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Finding the Third Proportional to 30,941,606,034 and 66,294,154,872

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Solution

The third proportional to 30,941,606,034 and 66,294,154,872 is: 142,039,006,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941,606,034 : 66,294,154,872 = 66,294,154,872 : x
  2. Step 2: Convert to fraction form
    30,941,606,034/66,294,154,872 = 66,294,154,872/x
  3. Step 3: Cross multiply
    30,941,606,034x = 66,294,154,872 × 66,294,154,872
  4. Step 4: Simplify right side
    30,941,606,034x = 4,394,914,970,192,721,215,488
  5. Step 5: Solve for x
    x = 4,394,914,970,192,721,215,488/30,941,606,034
  6. Step 6: Final answer
    x = 142,039,006,164.17

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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.