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Finding the Third Proportional to 268,529,824 and 414,657,034

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Solution

The third proportional to 268,529,824 and 414,657,034 is: 640,303,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,529,824 : 414,657,034 = 414,657,034 : x
  2. Step 2: Convert to fraction form
    268,529,824/414,657,034 = 414,657,034/x
  3. Step 3: Cross multiply
    268,529,824x = 414,657,034 × 414,657,034
  4. Step 4: Simplify right side
    268,529,824x = 171,940,455,845,677,152
  5. Step 5: Solve for x
    x = 171,940,455,845,677,152/268,529,824
  6. Step 6: Final answer
    x = 640,303,014.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.