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Finding the Third Proportional to 69,242,706 and 149,975,667

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Solution

The third proportional to 69,242,706 and 149,975,667 is: 324,838,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,242,706 : 149,975,667 = 149,975,667 : x
  2. Step 2: Convert to fraction form
    69,242,706/149,975,667 = 149,975,667/x
  3. Step 3: Cross multiply
    69,242,706x = 149,975,667 × 149,975,667
  4. Step 4: Simplify right side
    69,242,706x = 22,492,700,692,094,888
  5. Step 5: Solve for x
    x = 22,492,700,692,094,888/69,242,706
  6. Step 6: Final answer
    x = 324,838,556.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.