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Finding the Third Proportional to 29,458,106,304 and 64,619,453,694

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Solution

The third proportional to 29,458,106,304 and 64,619,453,694 is: 141,749,566,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,458,106,304 : 64,619,453,694 = 64,619,453,694 : x
  2. Step 2: Convert to fraction form
    29,458,106,304/64,619,453,694 = 64,619,453,694/x
  3. Step 3: Cross multiply
    29,458,106,304x = 64,619,453,694 × 64,619,453,694
  4. Step 4: Simplify right side
    29,458,106,304x = 4,175,673,795,711,010,340,864
  5. Step 5: Solve for x
    x = 4,175,673,795,711,010,340,864/29,458,106,304
  6. Step 6: Final answer
    x = 141,749,566,405.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.