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Finding the Third Proportional to 290,515,515 and 622,476,822

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Solution

The third proportional to 290,515,515 and 622,476,822 is: 1,333,758,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,515,515 : 622,476,822 = 622,476,822 : x
  2. Step 2: Convert to fraction form
    290,515,515/622,476,822 = 622,476,822/x
  3. Step 3: Cross multiply
    290,515,515x = 622,476,822 × 622,476,822
  4. Step 4: Simplify right side
    290,515,515x = 387,477,393,927,219,712
  5. Step 5: Solve for x
    x = 387,477,393,927,219,712/290,515,515
  6. Step 6: Final answer
    x = 1,333,758,005.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.