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Finding the Third Proportional to 29,489,945 and 64,648,621

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Solution

The third proportional to 29,489,945 and 64,648,621 is: 141,724,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,489,945 : 64,648,621 = 64,648,621 : x
  2. Step 2: Convert to fraction form
    29,489,945/64,648,621 = 64,648,621/x
  3. Step 3: Cross multiply
    29,489,945x = 64,648,621 × 64,648,621
  4. Step 4: Simplify right side
    29,489,945x = 4,179,444,197,201,641
  5. Step 5: Solve for x
    x = 4,179,444,197,201,641/29,489,945
  6. Step 6: Final answer
    x = 141,724,380.88

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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.