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Finding the Third Proportional to 160,015,464 and 349,105,007

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Solution

The third proportional to 160,015,464 and 349,105,007 is: 761,640,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,015,464 : 349,105,007 = 349,105,007 : x
  2. Step 2: Convert to fraction form
    160,015,464/349,105,007 = 349,105,007/x
  3. Step 3: Cross multiply
    160,015,464x = 349,105,007 × 349,105,007
  4. Step 4: Simplify right side
    160,015,464x = 121,874,305,912,470,048
  5. Step 5: Solve for x
    x = 121,874,305,912,470,048/160,015,464
  6. Step 6: Final answer
    x = 761,640,799.37

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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.