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Finding the Third Proportional to 29,958,849 and 64,545,673.50

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Solution

The third proportional to 29,958,849 and 64,545,673.50 is: 139,062,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,958,849 : 64,545,673.50 = 64,545,673.50 : x
  2. Step 2: Convert to fraction form
    29,958,849/64,545,673.50 = 64,545,673.50/x
  3. Step 3: Cross multiply
    29,958,849x = 64,545,673.50 × 64,545,673.50
  4. Step 4: Simplify right side
    29,958,849x = 4,166,143,967,568,602
  5. Step 5: Solve for x
    x = 4,166,143,967,568,602/29,958,849
  6. Step 6: Final answer
    x = 139,062,217.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.