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Finding the Third Proportional to 29,458,106,260 and 64,619,453,622

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Solution

The third proportional to 29,458,106,260 and 64,619,453,622 is: 141,749,566,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,458,106,260 : 64,619,453,622 = 64,619,453,622 : x
  2. Step 2: Convert to fraction form
    29,458,106,260/64,619,453,622 = 64,619,453,622/x
  3. Step 3: Cross multiply
    29,458,106,260x = 64,619,453,622 × 64,619,453,622
  4. Step 4: Simplify right side
    29,458,106,260x = 4,175,673,786,405,809,029,120
  5. Step 5: Solve for x
    x = 4,175,673,786,405,809,029,120/29,458,106,260
  6. Step 6: Final answer
    x = 141,749,566,301.07

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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.