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Finding the Third Proportional to 29,958,814 and 64,545,609

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Solution

The third proportional to 29,958,814 and 64,545,609 is: 139,062,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,958,814 : 64,545,609 = 64,545,609 : x
  2. Step 2: Convert to fraction form
    29,958,814/64,545,609 = 64,545,609/x
  3. Step 3: Cross multiply
    29,958,814x = 64,545,609 × 64,545,609
  4. Step 4: Simplify right side
    29,958,814x = 4,166,135,641,180,881
  5. Step 5: Solve for x
    x = 4,166,135,641,180,881/29,958,814
  6. Step 6: Final answer
    x = 139,062,101.76

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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.