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Finding the Third Proportional to 244,885,728 and 532,816,314

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Solution

The third proportional to 244,885,728 and 532,816,314 is: 1,159,288,566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,885,728 : 532,816,314 = 532,816,314 : x
  2. Step 2: Convert to fraction form
    244,885,728/532,816,314 = 532,816,314/x
  3. Step 3: Cross multiply
    244,885,728x = 532,816,314 × 532,816,314
  4. Step 4: Simplify right side
    244,885,728x = 283,893,224,464,546,592
  5. Step 5: Solve for x
    x = 283,893,224,464,546,592/244,885,728
  6. Step 6: Final answer
    x = 1,159,288,566.07

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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.