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Finding the Third Proportional to 61,616,486 and 133,507,336

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Solution

The third proportional to 61,616,486 and 133,507,336 is: 289,276,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,616,486 : 133,507,336 = 133,507,336 : x
  2. Step 2: Convert to fraction form
    61,616,486/133,507,336 = 133,507,336/x
  3. Step 3: Cross multiply
    61,616,486x = 133,507,336 × 133,507,336
  4. Step 4: Simplify right side
    61,616,486x = 17,824,208,765,816,896
  5. Step 5: Solve for x
    x = 17,824,208,765,816,896/61,616,486
  6. Step 6: Final answer
    x = 289,276,619.34

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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.