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Finding the Third Proportional to 30,681,769,982 and 71,686,458,866

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Solution

The third proportional to 30,681,769,982 and 71,686,458,866 is: 167,491,914,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681,769,982 : 71,686,458,866 = 71,686,458,866 : x
  2. Step 2: Convert to fraction form
    30,681,769,982/71,686,458,866 = 71,686,458,866/x
  3. Step 3: Cross multiply
    30,681,769,982x = 71,686,458,866 × 71,686,458,866
  4. Step 4: Simplify right side
    30,681,769,982x = 5,138,948,384,746,709,712,896
  5. Step 5: Solve for x
    x = 5,138,948,384,746,709,712,896/30,681,769,982
  6. Step 6: Final answer
    x = 167,491,914,181.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.