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Finding the Third Proportional to 61,221,264 and 133,203,795

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Solution

The third proportional to 61,221,264 and 133,203,795 is: 289,821,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,221,264 : 133,203,795 = 133,203,795 : x
  2. Step 2: Convert to fraction form
    61,221,264/133,203,795 = 133,203,795/x
  3. Step 3: Cross multiply
    61,221,264x = 133,203,795 × 133,203,795
  4. Step 4: Simplify right side
    61,221,264x = 17,743,251,002,402,024
  5. Step 5: Solve for x
    x = 17,743,251,002,402,024/61,221,264
  6. Step 6: Final answer
    x = 289,821,703.17

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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.