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Finding the Third Proportional to 268,529,838 and 414,657,060

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Solution

The third proportional to 268,529,838 and 414,657,060 is: 640,303,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,529,838 : 414,657,060 = 414,657,060 : x
  2. Step 2: Convert to fraction form
    268,529,838/414,657,060 = 414,657,060/x
  3. Step 3: Cross multiply
    268,529,838x = 414,657,060 × 414,657,060
  4. Step 4: Simplify right side
    268,529,838x = 171,940,477,407,843,584
  5. Step 5: Solve for x
    x = 171,940,477,407,843,584/268,529,838
  6. Step 6: Final answer
    x = 640,303,061.62

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