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Finding the Third Proportional to 69,434,535 and 151,212,822

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Solution

The third proportional to 69,434,535 and 151,212,822 is: 329,307,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,434,535 : 151,212,822 = 151,212,822 : x
  2. Step 2: Convert to fraction form
    69,434,535/151,212,822 = 151,212,822/x
  3. Step 3: Cross multiply
    69,434,535x = 151,212,822 × 151,212,822
  4. Step 4: Simplify right side
    69,434,535x = 22,865,317,537,203,684
  5. Step 5: Solve for x
    x = 22,865,317,537,203,684/69,434,535
  6. Step 6: Final answer
    x = 329,307,563.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.