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Finding the Third Proportional to 61,223,626 and 133,208,586

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Solution

The third proportional to 61,223,626 and 133,208,586 is: 289,831,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,223,626 : 133,208,586 = 133,208,586 : x
  2. Step 2: Convert to fraction form
    61,223,626/133,208,586 = 133,208,586/x
  3. Step 3: Cross multiply
    61,223,626x = 133,208,586 × 133,208,586
  4. Step 4: Simplify right side
    61,223,626x = 17,744,527,384,119,396
  5. Step 5: Solve for x
    x = 17,744,527,384,119,396/61,223,626
  6. Step 6: Final answer
    x = 289,831,369.74

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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.